Greatest Common Factor of 506/342, 7952/703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 506/342, 7952/703

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 506/342,7952/703

Given fractions are 506/342,7952/703

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 506,7952

Greatest Common Factor of Numerators i.e. GCF of 506,7952 is 2 .

LCM of Denominators means LCM of 342,703 as per the given fractions.

LCM of 342,703 is 12654 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 506,7952

GCF of Fractions 506/342,7952/703 is 2/12654

2 506, 7952
253, 3976

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

Greatest Common Factor of 506,7952 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,7952 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 7952

List of positive integer factors of 7952 that divides 7952 without a remainder.

1,2,4,7,8,14,16,28,56,71,112,142,284,497,568,994,1136,1988,3976,7952

Greatest Common Factor

We found the factors 506,7952 . The biggest common factor number is the GCF number.
So the greatest common factor 506,7952 is 2.

Lets's calculate LCM of 342,703

19 342, 703
18, 37

∴ So the LCM of the given numbers is 19 x 18 x 37 = 12654

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12654

Therefore, the GCF of Fractions 506/342,7952/703 is 2/12654

Least Common Multiple of 342,703 with GCF Formula

Least Common Multiple of 342,703 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 342,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,703) = 19

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

GCF(342,703) x common factors =19 x 1 = 19

LCM(342,703) = ( 342 × 703 ) / 19

LCM(342,703) = 240426 / 19

LCM(342,703) = 12654


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 506/342, 7952/703

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 506/342, 7952/703?

Answer: GCF of Numerators as per given numbers 506/342, 7952/703 is

GCF of Numerators i.e. for 506,7952 is 2

LCM of denominators i.e. for 342,703 is 12654.

Thus, GCF of Fractions is 2/12654.Finally, GCF of Fractions for 506/342, 7952/703 is 2/12654.