Podcast
Questions and Answers
If the prime factorization of three numbers are $2^2 \times 3^3$, $2^5 \times 3^2$, and $2^3 \times 5 \times 3^2$, what is their highest common factor (HCF)?
If the prime factorization of three numbers are $2^2 \times 3^3$, $2^5 \times 3^2$, and $2^3 \times 5 \times 3^2$, what is their highest common factor (HCF)?
- 360
- 108
- 36 (correct)
- 288
What is the highest common factor (HCF) of 513, 1134, and 1215?
What is the highest common factor (HCF) of 513, 1134, and 1215?
- 36
- 23
- 81
- 27 (correct)
When the fraction $\frac{391}{667}$ is reduced to its lowest terms, what is the resulting fraction?
When the fraction $\frac{391}{667}$ is reduced to its lowest terms, what is the resulting fraction?
- $\frac{1}{2}$
- $\frac{17}{29}$ (correct)
- $\frac{23}{29}$
- $\frac{391}{667}$
To simplify the fraction $\frac{391}{667}$, by what number should both the numerator and denominator be divided?
To simplify the fraction $\frac{391}{667}$, by what number should both the numerator and denominator be divided?
What is the highest common factor (HCF) of 1134 and 1215?
What is the highest common factor (HCF) of 1134 and 1215?
What is the next step after finding the HCF of 1134 and 1215 is 81, to find the HCF of 513, 1134 and 1215?
What is the next step after finding the HCF of 1134 and 1215 is 81, to find the HCF of 513, 1134 and 1215?
If the HCF of two numbers is 23, and the numbers are 391 and 667, by dividing the numerator and denominator by the HCF, what fraction do we get?
If the HCF of two numbers is 23, and the numbers are 391 and 667, by dividing the numerator and denominator by the HCF, what fraction do we get?
If 108, 288 and 360 equals $2^2 \times 3^3$, $2^5 \times 3^2$ and $2^3 \times 5 \times 3^2$ respectively, What is the value of the H.C.F.?
If 108, 288 and 360 equals $2^2 \times 3^3$, $2^5 \times 3^2$ and $2^3 \times 5 \times 3^2$ respectively, What is the value of the H.C.F.?
Which of the following pairs of numbers have a highest common factor (HCF) of 27?
Which of the following pairs of numbers have a highest common factor (HCF) of 27?
Reducing a fraction to its lowest terms involves dividing both the numerator and denominator by what?
Reducing a fraction to its lowest terms involves dividing both the numerator and denominator by what?
Flashcards
What is H.C.F.?
What is H.C.F.?
The highest common factor (H.C.F.) is the largest number that divides exactly into two or more numbers.
H.C.F. with 3+ numbers
H.C.F. with 3+ numbers
To find the H.C.F. of multiple numbers, first, find the H.C.F. of any two numbers, then find the H.C.F. of the third number and the H.C.F. obtained in the previous step.
Reduce fractions
Reduce fractions
Reducing a fraction to its lowest terms involves dividing both the numerator and denominator by their H.C.F.
Study Notes
- 108 = 2^2 * 3^3, 288 = 2^5 * 3^2, and 360 = 2^3 * 5 * 3^2
- H.C.F. of the above = 2^2 * 3^2 = 36
Finding the H.C.F. of 513, 1134, and 1215
- Find the H.C.F. of 1134 and 1215 using the division method
- 1215 divided by 1134 gives a quotient of 1 with a remainder of 81
- 1134 divided by 81 gives a quotient of 14 with no remainder
- The H.C.F. of 1134 and 1215 is 81
- Now, find the H.C.F. of 513 and 81
- 513 divided by 81 gives a quotient of 6 with a remainder of 27
- 81 divided by 27 gives a quotient of 3 with no remainder
- Reqd H.C.F. = H.C.F. of 513 and 81, which is 27.
Reducing 391/667 to Lowest Terms
- The H.C.F. of 391 and 667 is 23.
- Dividing the numerator (391) and the denominator (667) by 23 reduces the fraction to its lowest terms
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