Greatest Common Factor of 5458/157, 4986/7025

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5458/157, 4986/7025

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 5458/157,4986/7025

Given fractions are 5458/157,4986/7025

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 5458,4986

Greatest Common Factor of Numerators i.e. GCF of 5458,4986 is 2 .

LCM of Denominators means LCM of 157,7025 as per the given fractions.

LCM of 157,7025 is 1102925 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5458,4986

GCF of Fractions 5458/157,4986/7025 is 2/1102925

2 5458, 4986
2729, 2493

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

Greatest Common Factor of 5458,4986 By Matching Biggest Common Factor Method

Greatest Common Factor of 5458,4986 By Matching Biggest Common Factor Method

Factors of 5458

List of positive integer factors of 5458 that divides 5458 without a remainder.

1,2,2729,5458

Factors of 4986

List of positive integer factors of 4986 that divides 4986 without a remainder.

1,2,3,6,9,18,277,554,831,1662,2493,4986

Greatest Common Factor

We found the factors 5458,4986 . The biggest common factor number is the GCF number.
So the greatest common factor 5458,4986 is 2.

Lets's calculate LCM of 157,7025

Given numbers has no common factors except 1. So, there LCM is their product i.e 1102925

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1102925

Therefore, the GCF of Fractions 5458/157,4986/7025 is 2/1102925

Least Common Multiple of 157,7025 with GCF Formula

Least Common Multiple of 157,7025 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 157,7025 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(157,7025) = 1

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

GCF(157,7025) x common factors =1 x 1 = 1

LCM(157,7025) = ( 157 × 7025 ) / 1

LCM(157,7025) = 1102925 / 1

LCM(157,7025) = 1102925


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5458/157, 4986/7025

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 5458/157, 4986/7025?

Answer: GCF of Numerators as per given numbers 5458/157, 4986/7025 is

GCF of Numerators i.e. for 5458,4986 is 2

LCM of denominators i.e. for 157,7025 is 1102925.

Thus, GCF of Fractions is 2/1102925.Finally, GCF of Fractions for 5458/157, 4986/7025 is 2/1102925.