Greatest Common Factor of 7702/36, 5301/876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7702/36, 5301/876

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 7702/36,5301/876

Given fractions are 7702/36,5301/876

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 7702,5301

Greatest Common Factor of Numerators i.e. GCF of 7702,5301 is 1 .

LCM of Denominators means LCM of 36,876 as per the given fractions.

LCM of 36,876 is 2628 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7702,5301

GCF of Fractions 7702/36,5301/876 is 1/2628

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

Greatest Common Factor of 7702,5301 By Matching Biggest Common Factor Method

Greatest Common Factor of 7702,5301 By Matching Biggest Common Factor Method

Factors of 7702

List of positive integer factors of 7702 that divides 7702 without a remainder.

1,2,3851,7702

Factors of 5301

List of positive integer factors of 5301 that divides 5301 without a remainder.

1,3,9,19,31,57,93,171,279,589,1767,5301

Greatest Common Factor

We found the factors 7702,5301 . The biggest common factor number is the GCF number.
So the greatest common factor 7702,5301 is 1.

Lets's calculate LCM of 36,876

2 36, 876
2 18, 438
3 9, 219
3, 73

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 73 = 2628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2628

Therefore, the GCF of Fractions 7702/36,5301/876 is 1/2628

Least Common Multiple of 36,876 with GCF Formula

Least Common Multiple of 36,876 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 36,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,876) = 12

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

GCF(36,876) x common factors =12 x 1 = 12

LCM(36,876) = ( 36 × 876 ) / 12

LCM(36,876) = 31536 / 12

LCM(36,876) = 2628


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 7702/36, 5301/876

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 7702/36, 5301/876?

Answer: GCF of Numerators as per given numbers 7702/36, 5301/876 is

GCF of Numerators i.e. for 7702,5301 is 1

LCM of denominators i.e. for 36,876 is 2628.

Thus, GCF of Fractions is 1/2628.Finally, GCF of Fractions for 7702/36, 5301/876 is 1/2628.