Greatest Common Factor of 6407/81, 5679/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6407/81, 5679/490

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 6407/81,5679/490

Given fractions are 6407/81,5679/490

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 6407,5679

Greatest Common Factor of Numerators i.e. GCF of 6407,5679 is 1 .

LCM of Denominators means LCM of 81,490 as per the given fractions.

LCM of 81,490 is 39690 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6407,5679

GCF of Fractions 6407/81,5679/490 is 1/39690

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

Greatest Common Factor of 6407,5679 By Matching Biggest Common Factor Method

Greatest Common Factor of 6407,5679 By Matching Biggest Common Factor Method

Factors of 6407

List of positive integer factors of 6407 that divides 6407 without a remainder.

1,43,149,6407

Factors of 5679

List of positive integer factors of 5679 that divides 5679 without a remainder.

1,3,9,631,1893,5679

Greatest Common Factor

We found the factors 6407,5679 . The biggest common factor number is the GCF number.
So the greatest common factor 6407,5679 is 1.

Lets's calculate LCM of 81,490

Given numbers has no common factors except 1. So, there LCM is their product i.e 39690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39690

Therefore, the GCF of Fractions 6407/81,5679/490 is 1/39690

Least Common Multiple of 81,490 with GCF Formula

Least Common Multiple of 81,490 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 81,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,490) = 1

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

GCF(81,490) x common factors =1 x 1 = 1

LCM(81,490) = ( 81 × 490 ) / 1

LCM(81,490) = 39690 / 1

LCM(81,490) = 39690


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 6407/81, 5679/490

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 6407/81, 5679/490?

Answer: GCF of Numerators as per given numbers 6407/81, 5679/490 is

GCF of Numerators i.e. for 6407,5679 is 1

LCM of denominators i.e. for 81,490 is 39690.

Thus, GCF of Fractions is 1/39690.Finally, GCF of Fractions for 6407/81, 5679/490 is 1/39690.