Greatest Common Factor of 5782/139, 9797/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5782/139, 9797/422

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 5782/139,9797/422

Given fractions are 5782/139,9797/422

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 5782,9797

Greatest Common Factor of Numerators i.e. GCF of 5782,9797 is 1 .

LCM of Denominators means LCM of 139,422 as per the given fractions.

LCM of 139,422 is 58658 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5782,9797

GCF of Fractions 5782/139,9797/422 is 1/58658

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

Greatest Common Factor of 5782,9797 By Matching Biggest Common Factor Method

Greatest Common Factor of 5782,9797 By Matching Biggest Common Factor Method

Factors of 5782

List of positive integer factors of 5782 that divides 5782 without a remainder.

1,2,7,14,49,59,98,118,413,826,2891,5782

Factors of 9797

List of positive integer factors of 9797 that divides 9797 without a remainder.

1,97,101,9797

Greatest Common Factor

We found the factors 5782,9797 . The biggest common factor number is the GCF number.
So the greatest common factor 5782,9797 is 1.

Lets's calculate LCM of 139,422

Given numbers has no common factors except 1. So, there LCM is their product i.e 58658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58658

Therefore, the GCF of Fractions 5782/139,9797/422 is 1/58658

Least Common Multiple of 139,422 with GCF Formula

Least Common Multiple of 139,422 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 139,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(139,422) = 1

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

GCF(139,422) x common factors =1 x 1 = 1

LCM(139,422) = ( 139 × 422 ) / 1

LCM(139,422) = 58658 / 1

LCM(139,422) = 58658


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 5782/139, 9797/422

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 5782/139, 9797/422?

Answer: GCF of Numerators as per given numbers 5782/139, 9797/422 is

GCF of Numerators i.e. for 5782,9797 is 1

LCM of denominators i.e. for 139,422 is 58658.

Thus, GCF of Fractions is 1/58658.Finally, GCF of Fractions for 5782/139, 9797/422 is 1/58658.