Greatest Common Factor of 7577/76, 7122/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7577/76, 7122/778

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 7577/76,7122/778

Given fractions are 7577/76,7122/778

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 7577,7122

Greatest Common Factor of Numerators i.e. GCF of 7577,7122 is 1 .

LCM of Denominators means LCM of 76,778 as per the given fractions.

LCM of 76,778 is 29564 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7577,7122

GCF of Fractions 7577/76,7122/778 is 1/29564

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

Greatest Common Factor of 7577,7122 By Matching Biggest Common Factor Method

Greatest Common Factor of 7577,7122 By Matching Biggest Common Factor Method

Factors of 7577

List of positive integer factors of 7577 that divides 7577 without a remainder.

1,7577

Factors of 7122

List of positive integer factors of 7122 that divides 7122 without a remainder.

1,2,3,6,1187,2374,3561,7122

Greatest Common Factor

We found the factors 7577,7122 . The biggest common factor number is the GCF number.
So the greatest common factor 7577,7122 is 1.

Lets's calculate LCM of 76,778

2 76, 778
38, 389

∴ So the LCM of the given numbers is 2 x 38 x 389 = 29564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29564

Therefore, the GCF of Fractions 7577/76,7122/778 is 1/29564

Least Common Multiple of 76,778 with GCF Formula

Least Common Multiple of 76,778 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 76,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,778) = 2

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

GCF(76,778) x common factors =2 x 1 = 2

LCM(76,778) = ( 76 × 778 ) / 2

LCM(76,778) = 59128 / 2

LCM(76,778) = 29564


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 7577/76, 7122/778

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 7577/76, 7122/778?

Answer: GCF of Numerators as per given numbers 7577/76, 7122/778 is

GCF of Numerators i.e. for 7577,7122 is 1

LCM of denominators i.e. for 76,778 is 29564.

Thus, GCF of Fractions is 1/29564.Finally, GCF of Fractions for 7577/76, 7122/778 is 1/29564.