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GCF of 747/212, 962/528

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 747/212, 962/528 i.e 1/27984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 747/212, 962/528.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 747/212,962/528?

Given fractions are 747/212,962/528

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 747/212,962/528, numerators are 747,962

Denominators are 212,528

The GCF of 747,962 is 1 .

LCM of 212,528 is 27984.

The greatest common factor of 747/212,962/528 = [GCF of 747,962]/[LCM of 212,528]= 1/27984

Therefore, the GCF of 747/212,962/528 is 1/27984.

Greatest Common Factor of 747,962

To find the highest common factor of 747,962, we have to find the factors of both numbers and list the highest common factor.

The factors of 747 are 1, 3, 9, 83, 249, 747

The factors of 962 are 1, 2, 13, 26, 37, 74, 481, 962

The HCF of 747,962 is 1.

Lets's calculate GCF of 747,962

Greatest Common Factor (GCF) of 747,962 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 747,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 747,962 By Matching Biggest Common Factor Method

Now, list down the factors of 747

:

1,3,9,83,249,747

Now, list down the factors of 962

:

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 747,962 . The biggest common factor number is the GCF number.
So the greatest common factor 747,962 is 1.

Lets's calculate LCM of 212,528

Lowest Common Multiple of 212,528 using Common Division

2 212, 528
2 106, 264
53, 132

∴ So the LCM of the given numbers is 2 x 2 x 53 x 132 = 27984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27984

Therefore, the GCF of Fractions 747/212,962/528 is 1/27984

Least Common Multiple of 212,528 with GCF Formula

Least Common Multiple of 212,528 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 212,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,528) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(212,528) x common factors =4 x 1 = 4

LCM(212,528) = ( 212 × 528 ) / 4

LCM(212,528) = 111936 / 4

LCM(212,528) = 27984


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FAQs on GCF of Fractions of 747/212, 962/528

1. What is the HCF of 747,962?

The HCF of 747,962 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 747/212, 962/528?

Answer: GCF of Numerators as per given numbers 747/212, 962/528 is

GCF of Numerators i.e. for 747,962 is 1

LCM of denominators i.e. for 212,528 is 27984.

Thus, GCF of Fractions is 1/27984.Finally, GCF of Fractions for 747/212, 962/528 is 1/27984.