Greatest Common Factor of 438/7592, 456/5772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 438/7592, 456/5772

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 438/7592,456/5772

Given fractions are 438/7592,456/5772

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 438,456

Greatest Common Factor of Numerators i.e. GCF of 438,456 is 6 .

LCM of Denominators means LCM of 7592,5772 as per the given fractions.

LCM of 7592,5772 is 842712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 438,456

GCF of Fractions 438/7592,456/5772 is 6/842712

2 438, 456
3 219, 228
73, 76

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 438,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,456 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 438,456 . The biggest common factor number is the GCF number.
So the greatest common factor 438,456 is 6.

Lets's calculate LCM of 7592,5772

2 7592, 5772
2 3796, 2886
13 1898, 1443
146, 111

∴ So the LCM of the given numbers is 2 x 2 x 13 x 146 x 111 = 842712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/842712

Therefore, the GCF of Fractions 438/7592,456/5772 is 6/842712

Least Common Multiple of 7592,5772 with GCF Formula

Least Common Multiple of 7592,5772 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 7592,5772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7592,5772) = 52

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

GCF(7592,5772) x common factors =52 x 1 = 52

LCM(7592,5772) = ( 7592 × 5772 ) / 52

LCM(7592,5772) = 43821024 / 52

LCM(7592,5772) = 842712


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 438/7592, 456/5772

1. 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.

2. What is the GCF of Fractions for 438/7592, 456/5772?

Answer: GCF of Numerators as per given numbers 438/7592, 456/5772 is

GCF of Numerators i.e. for 438,456 is 6

LCM of denominators i.e. for 7592,5772 is 842712.

Thus, GCF of Fractions is 6/842712.Finally, GCF of Fractions for 438/7592, 456/5772 is 6/842712.