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GCF of 752/932, 452/472

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 752/932, 452/472 i.e 4/109976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 752/932, 452/472.

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 752/932,452/472?

Given fractions are 752/932,452/472

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 752/932,452/472, numerators are 752,452

Denominators are 932,472

The GCF of 752,452 is 4 .

LCM of 932,472 is 109976.

The greatest common factor of 752/932,452/472 = [GCF of 752,452]/[LCM of 932,472]= 4/109976

Therefore, the GCF of 752/932,452/472 is 4/109976.

Greatest Common Factor of 752,452

To find the highest common factor of 752,452, we have to find the factors of both numbers and list the highest common factor.

The factors of 752 are 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

The factors of 452 are 1, 2, 4, 113, 226, 452

The HCF of 752,452 is 4.

Lets's calculate GCF of 752,452

Greatest Common Factor (GCF) of 752,452 By Common Division

2 752, 452
2 376, 226
188, 113

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 752,452 By Matching Biggest Common Factor Method

Greatest Common Factor of 752,452 By Matching Biggest Common Factor Method

Now, list down the factors of 752

:

1,2,4,8,16,47,94,188,376,752

Now, list down the factors of 452

:

1,2,4,113,226,452

Greatest Common Factor

We found the factors 752,452 . The biggest common factor number is the GCF number.
So the greatest common factor 752,452 is 4.

Lets's calculate LCM of 932,472

Lowest Common Multiple of 932,472 using Common Division

2 932, 472
2 466, 236
233, 118

∴ So the LCM of the given numbers is 2 x 2 x 233 x 118 = 109976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/109976

Therefore, the GCF of Fractions 752/932,452/472 is 4/109976

Least Common Multiple of 932,472 with GCF Formula

Least Common Multiple of 932,472 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 932,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,472) = 4

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

GCF(932,472) x common factors =4 x 1 = 4

LCM(932,472) = ( 932 × 472 ) / 4

LCM(932,472) = 439904 / 4

LCM(932,472) = 109976


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FAQs on GCF of Fractions of 752/932, 452/472

1. What is the HCF of 752,452?

The HCF of 752,452 is 4

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 752/932, 452/472?

Answer: GCF of Numerators as per given numbers 752/932, 452/472 is

GCF of Numerators i.e. for 752,452 is 4

LCM of denominators i.e. for 932,472 is 109976.

Thus, GCF of Fractions is 4/109976.Finally, GCF of Fractions for 752/932, 452/472 is 4/109976.