Greatest Common Factor of 7035/572, 6896/7622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7035/572, 6896/7622

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 7035/572,6896/7622

Given fractions are 7035/572,6896/7622

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 7035,6896

Greatest Common Factor of Numerators i.e. GCF of 7035,6896 is 1 .

LCM of Denominators means LCM of 572,7622 as per the given fractions.

LCM of 572,7622 is 2179892 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7035,6896

GCF of Fractions 7035/572,6896/7622 is 1/2179892

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

Greatest Common Factor of 7035,6896 By Matching Biggest Common Factor Method

Greatest Common Factor of 7035,6896 By Matching Biggest Common Factor Method

Factors of 7035

List of positive integer factors of 7035 that divides 7035 without a remainder.

1,3,5,7,15,21,35,67,105,201,335,469,1005,1407,2345,7035

Factors of 6896

List of positive integer factors of 6896 that divides 6896 without a remainder.

1,2,4,8,16,431,862,1724,3448,6896

Greatest Common Factor

We found the factors 7035,6896 . The biggest common factor number is the GCF number.
So the greatest common factor 7035,6896 is 1.

Lets's calculate LCM of 572,7622

2 572, 7622
286, 3811

∴ So the LCM of the given numbers is 2 x 286 x 3811 = 2179892

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2179892

Therefore, the GCF of Fractions 7035/572,6896/7622 is 1/2179892

Least Common Multiple of 572,7622 with GCF Formula

Least Common Multiple of 572,7622 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 572,7622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(572,7622) = 2

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

GCF(572,7622) x common factors =2 x 1 = 2

LCM(572,7622) = ( 572 × 7622 ) / 2

LCM(572,7622) = 4359784 / 2

LCM(572,7622) = 2179892


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 7035/572, 6896/7622

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 7035/572, 6896/7622?

Answer: GCF of Numerators as per given numbers 7035/572, 6896/7622 is

GCF of Numerators i.e. for 7035,6896 is 1

LCM of denominators i.e. for 572,7622 is 2179892.

Thus, GCF of Fractions is 1/2179892.Finally, GCF of Fractions for 7035/572, 6896/7622 is 1/2179892.