Greatest Common Factor of 7545/634, 6863/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7545/634, 6863/456

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 7545/634,6863/456

Given fractions are 7545/634,6863/456

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 7545,6863

Greatest Common Factor of Numerators i.e. GCF of 7545,6863 is 1 .

LCM of Denominators means LCM of 634,456 as per the given fractions.

LCM of 634,456 is 144552 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7545,6863

GCF of Fractions 7545/634,6863/456 is 1/144552

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

Greatest Common Factor of 7545,6863 By Matching Biggest Common Factor Method

Greatest Common Factor of 7545,6863 By Matching Biggest Common Factor Method

Factors of 7545

List of positive integer factors of 7545 that divides 7545 without a remainder.

1,3,5,15,503,1509,2515,7545

Factors of 6863

List of positive integer factors of 6863 that divides 6863 without a remainder.

1,6863

Greatest Common Factor

We found the factors 7545,6863 . The biggest common factor number is the GCF number.
So the greatest common factor 7545,6863 is 1.

Lets's calculate LCM of 634,456

2 634, 456
317, 228

∴ So the LCM of the given numbers is 2 x 317 x 228 = 144552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144552

Therefore, the GCF of Fractions 7545/634,6863/456 is 1/144552

Least Common Multiple of 634,456 with GCF Formula

Least Common Multiple of 634,456 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 634,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(634,456) = 2

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

GCF(634,456) x common factors =2 x 1 = 2

LCM(634,456) = ( 634 × 456 ) / 2

LCM(634,456) = 289104 / 2

LCM(634,456) = 144552


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 7545/634, 6863/456

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 7545/634, 6863/456?

Answer: GCF of Numerators as per given numbers 7545/634, 6863/456 is

GCF of Numerators i.e. for 7545,6863 is 1

LCM of denominators i.e. for 634,456 is 144552.

Thus, GCF of Fractions is 1/144552.Finally, GCF of Fractions for 7545/634, 6863/456 is 1/144552.