Greatest Common Factor of 7456/544, 8908/588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7456/544, 8908/588

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 7456/544,8908/588

Given fractions are 7456/544,8908/588

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 7456,8908

Greatest Common Factor of Numerators i.e. GCF of 7456,8908 is 4 .

LCM of Denominators means LCM of 544,588 as per the given fractions.

LCM of 544,588 is 79968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7456,8908

GCF of Fractions 7456/544,8908/588 is 4/79968

2 7456, 8908
2 3728, 4454
1864, 2227

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

Greatest Common Factor of 7456,8908 By Matching Biggest Common Factor Method

Greatest Common Factor of 7456,8908 By Matching Biggest Common Factor Method

Factors of 7456

List of positive integer factors of 7456 that divides 7456 without a remainder.

1,2,4,8,16,32,233,466,932,1864,3728,7456

Factors of 8908

List of positive integer factors of 8908 that divides 8908 without a remainder.

1,2,4,17,34,68,131,262,524,2227,4454,8908

Greatest Common Factor

We found the factors 7456,8908 . The biggest common factor number is the GCF number.
So the greatest common factor 7456,8908 is 4.

Lets's calculate LCM of 544,588

2 544, 588
2 272, 294
136, 147

∴ So the LCM of the given numbers is 2 x 2 x 136 x 147 = 79968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/79968

Therefore, the GCF of Fractions 7456/544,8908/588 is 4/79968

Least Common Multiple of 544,588 with GCF Formula

Least Common Multiple of 544,588 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 544,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,588) = 4

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

GCF(544,588) x common factors =4 x 1 = 4

LCM(544,588) = ( 544 × 588 ) / 4

LCM(544,588) = 319872 / 4

LCM(544,588) = 79968


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 7456/544, 8908/588

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 7456/544, 8908/588?

Answer: GCF of Numerators as per given numbers 7456/544, 8908/588 is

GCF of Numerators i.e. for 7456,8908 is 4

LCM of denominators i.e. for 544,588 is 79968.

Thus, GCF of Fractions is 4/79968.Finally, GCF of Fractions for 7456/544, 8908/588 is 4/79968.