Greatest Common Factor of 6752/742, 7868/3122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6752/742, 7868/3122

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 6752/742,7868/3122

Given fractions are 6752/742,7868/3122

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 6752,7868

Greatest Common Factor of Numerators i.e. GCF of 6752,7868 is 4 .

LCM of Denominators means LCM of 742,3122 as per the given fractions.

LCM of 742,3122 is 165466 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6752,7868

GCF of Fractions 6752/742,7868/3122 is 4/165466

2 6752, 7868
2 3376, 3934
1688, 1967

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6752,7868 By Matching Biggest Common Factor Method

Greatest Common Factor of 6752,7868 By Matching Biggest Common Factor Method

Factors of 6752

List of positive integer factors of 6752 that divides 6752 without a remainder.

1,2,4,8,16,32,211,422,844,1688,3376,6752

Factors of 7868

List of positive integer factors of 7868 that divides 7868 without a remainder.

1,2,4,7,14,28,281,562,1124,1967,3934,7868

Greatest Common Factor

We found the factors 6752,7868 . The biggest common factor number is the GCF number.
So the greatest common factor 6752,7868 is 4.

Lets's calculate LCM of 742,3122

2 742, 3122
7 371, 1561
53, 223

∴ So the LCM of the given numbers is 2 x 7 x 53 x 223 = 165466

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/165466

Therefore, the GCF of Fractions 6752/742,7868/3122 is 4/165466

Least Common Multiple of 742,3122 with GCF Formula

Least Common Multiple of 742,3122 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 742,3122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,3122) = 14

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

GCF(742,3122) x common factors =14 x 1 = 14

LCM(742,3122) = ( 742 × 3122 ) / 14

LCM(742,3122) = 2316524 / 14

LCM(742,3122) = 165466


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 6752/742, 7868/3122

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 6752/742, 7868/3122?

Answer: GCF of Numerators as per given numbers 6752/742, 7868/3122 is

GCF of Numerators i.e. for 6752,7868 is 4

LCM of denominators i.e. for 742,3122 is 165466.

Thus, GCF of Fractions is 4/165466.Finally, GCF of Fractions for 6752/742, 7868/3122 is 4/165466.