Greatest Common Factor of 2528/468, 4544/9258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2528/468, 4544/9258

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 2528/468,4544/9258

Given fractions are 2528/468,4544/9258

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 2528,4544

Greatest Common Factor of Numerators i.e. GCF of 2528,4544 is 32 .

LCM of Denominators means LCM of 468,9258 as per the given fractions.

LCM of 468,9258 is 722124 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2528,4544

GCF of Fractions 2528/468,4544/9258 is 32/722124

2 2528, 4544
2 1264, 2272
2 632, 1136
2 316, 568
2 158, 284
79, 142

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Greatest Common Factor of 2528,4544 By Matching Biggest Common Factor Method

Greatest Common Factor of 2528,4544 By Matching Biggest Common Factor Method

Factors of 2528

List of positive integer factors of 2528 that divides 2528 without a remainder.

1,2,4,8,16,32,79,158,316,632,1264,2528

Factors of 4544

List of positive integer factors of 4544 that divides 4544 without a remainder.

1,2,4,8,16,32,64,71,142,284,568,1136,2272,4544

Greatest Common Factor

We found the factors 2528,4544 . The biggest common factor number is the GCF number.
So the greatest common factor 2528,4544 is 32.

Lets's calculate LCM of 468,9258

2 468, 9258
3 234, 4629
78, 1543

∴ So the LCM of the given numbers is 2 x 3 x 78 x 1543 = 722124

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/722124

Therefore, the GCF of Fractions 2528/468,4544/9258 is 32/722124

Least Common Multiple of 468,9258 with GCF Formula

Least Common Multiple of 468,9258 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 468,9258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,9258) = 6

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

GCF(468,9258) x common factors =6 x 1 = 6

LCM(468,9258) = ( 468 × 9258 ) / 6

LCM(468,9258) = 4332744 / 6

LCM(468,9258) = 722124


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 2528/468, 4544/9258

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 2528/468, 4544/9258?

Answer: GCF of Numerators as per given numbers 2528/468, 4544/9258 is

GCF of Numerators i.e. for 2528,4544 is 32

LCM of denominators i.e. for 468,9258 is 722124.

Thus, GCF of Fractions is 32/722124.Finally, GCF of Fractions for 2528/468, 4544/9258 is 32/722124.