Greatest Common Factor of 4970/944, 7564/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4970/944, 7564/548

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 4970/944,7564/548

Given fractions are 4970/944,7564/548

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 4970,7564

Greatest Common Factor of Numerators i.e. GCF of 4970,7564 is 2 .

LCM of Denominators means LCM of 944,548 as per the given fractions.

LCM of 944,548 is 129328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4970,7564

GCF of Fractions 4970/944,7564/548 is 2/129328

2 4970, 7564
2485, 3782

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

Greatest Common Factor of 4970,7564 By Matching Biggest Common Factor Method

Greatest Common Factor of 4970,7564 By Matching Biggest Common Factor Method

Factors of 4970

List of positive integer factors of 4970 that divides 4970 without a remainder.

1,2,5,7,10,14,35,70,71,142,355,497,710,994,2485,4970

Factors of 7564

List of positive integer factors of 7564 that divides 7564 without a remainder.

1,2,4,31,61,62,122,124,244,1891,3782,7564

Greatest Common Factor

We found the factors 4970,7564 . The biggest common factor number is the GCF number.
So the greatest common factor 4970,7564 is 2.

Lets's calculate LCM of 944,548

2 944, 548
2 472, 274
236, 137

∴ So the LCM of the given numbers is 2 x 2 x 236 x 137 = 129328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/129328

Therefore, the GCF of Fractions 4970/944,7564/548 is 2/129328

Least Common Multiple of 944,548 with GCF Formula

Least Common Multiple of 944,548 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 944,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(944,548) = 4

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

GCF(944,548) x common factors =4 x 1 = 4

LCM(944,548) = ( 944 × 548 ) / 4

LCM(944,548) = 517312 / 4

LCM(944,548) = 129328


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 4970/944, 7564/548

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 4970/944, 7564/548?

Answer: GCF of Numerators as per given numbers 4970/944, 7564/548 is

GCF of Numerators i.e. for 4970,7564 is 2

LCM of denominators i.e. for 944,548 is 129328.

Thus, GCF of Fractions is 2/129328.Finally, GCF of Fractions for 4970/944, 7564/548 is 2/129328.