Greatest Common Factor of 5086/40, 6797/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5086/40, 6797/989

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 5086/40,6797/989

Given fractions are 5086/40,6797/989

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 5086,6797

Greatest Common Factor of Numerators i.e. GCF of 5086,6797 is 1 .

LCM of Denominators means LCM of 40,989 as per the given fractions.

LCM of 40,989 is 39560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5086,6797

GCF of Fractions 5086/40,6797/989 is 1/39560

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

Greatest Common Factor of 5086,6797 By Matching Biggest Common Factor Method

Greatest Common Factor of 5086,6797 By Matching Biggest Common Factor Method

Factors of 5086

List of positive integer factors of 5086 that divides 5086 without a remainder.

1,2,2543,5086

Factors of 6797

List of positive integer factors of 6797 that divides 6797 without a remainder.

1,7,971,6797

Greatest Common Factor

We found the factors 5086,6797 . The biggest common factor number is the GCF number.
So the greatest common factor 5086,6797 is 1.

Lets's calculate LCM of 40,989

Given numbers has no common factors except 1. So, there LCM is their product i.e 39560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39560

Therefore, the GCF of Fractions 5086/40,6797/989 is 1/39560

Least Common Multiple of 40,989 with GCF Formula

Least Common Multiple of 40,989 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 40,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,989) = 1

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

GCF(40,989) x common factors =1 x 1 = 1

LCM(40,989) = ( 40 × 989 ) / 1

LCM(40,989) = 39560 / 1

LCM(40,989) = 39560


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 5086/40, 6797/989

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 5086/40, 6797/989?

Answer: GCF of Numerators as per given numbers 5086/40, 6797/989 is

GCF of Numerators i.e. for 5086,6797 is 1

LCM of denominators i.e. for 40,989 is 39560.

Thus, GCF of Fractions is 1/39560.Finally, GCF of Fractions for 5086/40, 6797/989 is 1/39560.