Greatest Common Factor of 5601/634, 6743/2451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5601/634, 6743/2451

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 5601/634,6743/2451

Given fractions are 5601/634,6743/2451

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 5601,6743

Greatest Common Factor of Numerators i.e. GCF of 5601,6743 is 1 .

LCM of Denominators means LCM of 634,2451 as per the given fractions.

LCM of 634,2451 is 1553934 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5601,6743

GCF of Fractions 5601/634,6743/2451 is 1/1553934

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

Greatest Common Factor of 5601,6743 By Matching Biggest Common Factor Method

Greatest Common Factor of 5601,6743 By Matching Biggest Common Factor Method

Factors of 5601

List of positive integer factors of 5601 that divides 5601 without a remainder.

1,3,1867,5601

Factors of 6743

List of positive integer factors of 6743 that divides 6743 without a remainder.

1,11,613,6743

Greatest Common Factor

We found the factors 5601,6743 . The biggest common factor number is the GCF number.
So the greatest common factor 5601,6743 is 1.

Lets's calculate LCM of 634,2451

Given numbers has no common factors except 1. So, there LCM is their product i.e 1553934

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1553934

Therefore, the GCF of Fractions 5601/634,6743/2451 is 1/1553934

Least Common Multiple of 634,2451 with GCF Formula

Least Common Multiple of 634,2451 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 634,2451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(634,2451) = 1

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

GCF(634,2451) x common factors =1 x 1 = 1

LCM(634,2451) = ( 634 × 2451 ) / 1

LCM(634,2451) = 1553934 / 1

LCM(634,2451) = 1553934


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 5601/634, 6743/2451

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 5601/634, 6743/2451?

Answer: GCF of Numerators as per given numbers 5601/634, 6743/2451 is

GCF of Numerators i.e. for 5601,6743 is 1

LCM of denominators i.e. for 634,2451 is 1553934.

Thus, GCF of Fractions is 1/1553934.Finally, GCF of Fractions for 5601/634, 6743/2451 is 1/1553934.