Greatest Common Factor of 2489/117, 7058/4458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 2489/117, 7058/4458

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 2489/117,7058/4458

Given fractions are 2489/117,7058/4458

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 2489,7058

Greatest Common Factor of Numerators i.e. GCF of 2489,7058 is 1 .

LCM of Denominators means LCM of 117,4458 as per the given fractions.

LCM of 117,4458 is 173862 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2489,7058

GCF of Fractions 2489/117,7058/4458 is 1/173862

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2489,7058 By Matching Biggest Common Factor Method

Greatest Common Factor of 2489,7058 By Matching Biggest Common Factor Method

Factors of 2489

List of positive integer factors of 2489 that divides 2489 without a remainder.

1,19,131,2489

Factors of 7058

List of positive integer factors of 7058 that divides 7058 without a remainder.

1,2,3529,7058

Greatest Common Factor

We found the factors 2489,7058 . The biggest common factor number is the GCF number.
So the greatest common factor 2489,7058 is 1.


Lets's calculate LCM of 117,4458

3 117, 4458
39, 1486

∴ So the LCM of the given numbers is 3 x 39 x 1486 = 173862

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173862

Therefore, the GCF of Fractions 2489/117,7058/4458 is 1/173862

Least Common Multiple of 117,4458 with GCF Formula

Least Common Multiple of 117,4458 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 117,4458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(117,4458) = 3

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

GCF(117,4458) x common factors =3 x 1 = 3

LCM(117,4458) = ( 117 × 4458 ) / 3

LCM(117,4458) = 521586 / 3

LCM(117,4458) = 173862


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 2489/117, 7058/4458

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 2489/117, 7058/4458?

Answer: GCF of Numerators as per given numbers 2489/117, 7058/4458 is

GCF of Numerators i.e. for 2489,7058 is 1

LCM of denominators i.e. for 117,4458 is 173862.

Thus, GCF of Fractions is 1/173862.Finally, GCF of Fractions for 2489/117, 7058/4458 is 1/173862.