Greatest Common Factor of 2632/62, 6378/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2632/62, 6378/731

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 2632/62,6378/731

Given fractions are 2632/62,6378/731

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 2632,6378

Greatest Common Factor of Numerators i.e. GCF of 2632,6378 is 2 .

LCM of Denominators means LCM of 62,731 as per the given fractions.

LCM of 62,731 is 45322 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2632,6378

GCF of Fractions 2632/62,6378/731 is 2/45322

2 2632, 6378
1316, 3189

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

Greatest Common Factor of 2632,6378 By Matching Biggest Common Factor Method

Greatest Common Factor of 2632,6378 By Matching Biggest Common Factor Method

Factors of 2632

List of positive integer factors of 2632 that divides 2632 without a remainder.

1,2,4,7,8,14,28,47,56,94,188,329,376,658,1316,2632

Factors of 6378

List of positive integer factors of 6378 that divides 6378 without a remainder.

1,2,3,6,1063,2126,3189,6378

Greatest Common Factor

We found the factors 2632,6378 . The biggest common factor number is the GCF number.
So the greatest common factor 2632,6378 is 2.

Lets's calculate LCM of 62,731

Given numbers has no common factors except 1. So, there LCM is their product i.e 45322

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/45322

Therefore, the GCF of Fractions 2632/62,6378/731 is 2/45322

Least Common Multiple of 62,731 with GCF Formula

Least Common Multiple of 62,731 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 62,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,731) = 1

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

GCF(62,731) x common factors =1 x 1 = 1

LCM(62,731) = ( 62 × 731 ) / 1

LCM(62,731) = 45322 / 1

LCM(62,731) = 45322


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 2632/62, 6378/731

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 2632/62, 6378/731?

Answer: GCF of Numerators as per given numbers 2632/62, 6378/731 is

GCF of Numerators i.e. for 2632,6378 is 2

LCM of denominators i.e. for 62,731 is 45322.

Thus, GCF of Fractions is 2/45322.Finally, GCF of Fractions for 2632/62, 6378/731 is 2/45322.