Greatest Common Factor of 6421/628, 2176/9154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6421/628, 2176/9154

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 6421/628,2176/9154

Given fractions are 6421/628,2176/9154

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 6421,2176

Greatest Common Factor of Numerators i.e. GCF of 6421,2176 is 1 .

LCM of Denominators means LCM of 628,9154 as per the given fractions.

LCM of 628,9154 is 2874356 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6421,2176

GCF of Fractions 6421/628,2176/9154 is 1/2874356

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

Greatest Common Factor of 6421,2176 By Matching Biggest Common Factor Method

Greatest Common Factor of 6421,2176 By Matching Biggest Common Factor Method

Factors of 6421

List of positive integer factors of 6421 that divides 6421 without a remainder.

1,6421

Factors of 2176

List of positive integer factors of 2176 that divides 2176 without a remainder.

1,2,4,8,16,17,32,34,64,68,128,136,272,544,1088,2176

Greatest Common Factor

We found the factors 6421,2176 . The biggest common factor number is the GCF number.
So the greatest common factor 6421,2176 is 1.

Lets's calculate LCM of 628,9154

2 628, 9154
314, 4577

∴ So the LCM of the given numbers is 2 x 314 x 4577 = 2874356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2874356

Therefore, the GCF of Fractions 6421/628,2176/9154 is 1/2874356

Least Common Multiple of 628,9154 with GCF Formula

Least Common Multiple of 628,9154 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 628,9154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(628,9154) = 2

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

GCF(628,9154) x common factors =2 x 1 = 2

LCM(628,9154) = ( 628 × 9154 ) / 2

LCM(628,9154) = 5748712 / 2

LCM(628,9154) = 2874356


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 6421/628, 2176/9154

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 6421/628, 2176/9154?

Answer: GCF of Numerators as per given numbers 6421/628, 2176/9154 is

GCF of Numerators i.e. for 6421,2176 is 1

LCM of denominators i.e. for 628,9154 is 2874356.

Thus, GCF of Fractions is 1/2874356.Finally, GCF of Fractions for 6421/628, 2176/9154 is 1/2874356.