Greatest Common Factor of 6492/71, 9920/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6492/71, 9920/638

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 6492/71,9920/638

Given fractions are 6492/71,9920/638

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 6492,9920

Greatest Common Factor of Numerators i.e. GCF of 6492,9920 is 4 .

LCM of Denominators means LCM of 71,638 as per the given fractions.

LCM of 71,638 is 45298 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6492,9920

GCF of Fractions 6492/71,9920/638 is 4/45298

2 6492, 9920
2 3246, 4960
1623, 2480

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6492,9920 By Matching Biggest Common Factor Method

Greatest Common Factor of 6492,9920 By Matching Biggest Common Factor Method

Factors of 6492

List of positive integer factors of 6492 that divides 6492 without a remainder.

1,2,3,4,6,12,541,1082,1623,2164,3246,6492

Factors of 9920

List of positive integer factors of 9920 that divides 9920 without a remainder.

1,2,4,5,8,10,16,20,31,32,40,62,64,80,124,155,160,248,310,320,496,620,992,1240,1984,2480,4960,9920

Greatest Common Factor

We found the factors 6492,9920 . The biggest common factor number is the GCF number.
So the greatest common factor 6492,9920 is 4.

Lets's calculate LCM of 71,638

Given numbers has no common factors except 1. So, there LCM is their product i.e 45298

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/45298

Therefore, the GCF of Fractions 6492/71,9920/638 is 4/45298

Least Common Multiple of 71,638 with GCF Formula

Least Common Multiple of 71,638 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 71,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,638) = 1

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

GCF(71,638) x common factors =1 x 1 = 1

LCM(71,638) = ( 71 × 638 ) / 1

LCM(71,638) = 45298 / 1

LCM(71,638) = 45298


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 6492/71, 9920/638

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 6492/71, 9920/638?

Answer: GCF of Numerators as per given numbers 6492/71, 9920/638 is

GCF of Numerators i.e. for 6492,9920 is 4

LCM of denominators i.e. for 71,638 is 45298.

Thus, GCF of Fractions is 4/45298.Finally, GCF of Fractions for 6492/71, 9920/638 is 4/45298.