Greatest Common Factor of 7716/50, 6146/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7716/50, 6146/729

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 7716/50,6146/729

Given fractions are 7716/50,6146/729

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 7716,6146

Greatest Common Factor of Numerators i.e. GCF of 7716,6146 is 2 .

LCM of Denominators means LCM of 50,729 as per the given fractions.

LCM of 50,729 is 36450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7716,6146

GCF of Fractions 7716/50,6146/729 is 2/36450

2 7716, 6146
3858, 3073

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7716,6146 By Matching Biggest Common Factor Method

Greatest Common Factor of 7716,6146 By Matching Biggest Common Factor Method

Factors of 7716

List of positive integer factors of 7716 that divides 7716 without a remainder.

1,2,3,4,6,12,643,1286,1929,2572,3858,7716

Factors of 6146

List of positive integer factors of 6146 that divides 6146 without a remainder.

1,2,7,14,439,878,3073,6146

Greatest Common Factor

We found the factors 7716,6146 . The biggest common factor number is the GCF number.
So the greatest common factor 7716,6146 is 2.

Lets's calculate LCM of 50,729

Given numbers has no common factors except 1. So, there LCM is their product i.e 36450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/36450

Therefore, the GCF of Fractions 7716/50,6146/729 is 2/36450

Least Common Multiple of 50,729 with GCF Formula

Least Common Multiple of 50,729 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 50,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,729) = 1

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

GCF(50,729) x common factors =1 x 1 = 1

LCM(50,729) = ( 50 × 729 ) / 1

LCM(50,729) = 36450 / 1

LCM(50,729) = 36450


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 7716/50, 6146/729

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 7716/50, 6146/729?

Answer: GCF of Numerators as per given numbers 7716/50, 6146/729 is

GCF of Numerators i.e. for 7716,6146 is 2

LCM of denominators i.e. for 50,729 is 36450.

Thus, GCF of Fractions is 2/36450.Finally, GCF of Fractions for 7716/50, 6146/729 is 2/36450.