Greatest Common Factor of 5464/102, 6790/5128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5464/102, 6790/5128

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 5464/102,6790/5128

Given fractions are 5464/102,6790/5128

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 5464,6790

Greatest Common Factor of Numerators i.e. GCF of 5464,6790 is 2 .

LCM of Denominators means LCM of 102,5128 as per the given fractions.

LCM of 102,5128 is 261528 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5464,6790

GCF of Fractions 5464/102,6790/5128 is 2/261528

2 5464, 6790
2732, 3395

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

Greatest Common Factor of 5464,6790 By Matching Biggest Common Factor Method

Greatest Common Factor of 5464,6790 By Matching Biggest Common Factor Method

Factors of 5464

List of positive integer factors of 5464 that divides 5464 without a remainder.

1,2,4,8,683,1366,2732,5464

Factors of 6790

List of positive integer factors of 6790 that divides 6790 without a remainder.

1,2,5,7,10,14,35,70,97,194,485,679,970,1358,3395,6790

Greatest Common Factor

We found the factors 5464,6790 . The biggest common factor number is the GCF number.
So the greatest common factor 5464,6790 is 2.

Lets's calculate LCM of 102,5128

2 102, 5128
51, 2564

∴ So the LCM of the given numbers is 2 x 51 x 2564 = 261528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/261528

Therefore, the GCF of Fractions 5464/102,6790/5128 is 2/261528

Least Common Multiple of 102,5128 with GCF Formula

Least Common Multiple of 102,5128 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 102,5128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(102,5128) = 2

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

GCF(102,5128) x common factors =2 x 1 = 2

LCM(102,5128) = ( 102 × 5128 ) / 2

LCM(102,5128) = 523056 / 2

LCM(102,5128) = 261528


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 5464/102, 6790/5128

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 5464/102, 6790/5128?

Answer: GCF of Numerators as per given numbers 5464/102, 6790/5128 is

GCF of Numerators i.e. for 5464,6790 is 2

LCM of denominators i.e. for 102,5128 is 261528.

Thus, GCF of Fractions is 2/261528.Finally, GCF of Fractions for 5464/102, 6790/5128 is 2/261528.