Greatest Common Factor of 5950/85, 7343/959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5950/85, 7343/959

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 5950/85,7343/959

Given fractions are 5950/85,7343/959

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 5950,7343

Greatest Common Factor of Numerators i.e. GCF of 5950,7343 is 7 .

LCM of Denominators means LCM of 85,959 as per the given fractions.

LCM of 85,959 is 81515 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5950,7343

GCF of Fractions 5950/85,7343/959 is 7/81515

7 5950, 7343
850, 1049

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 5950,7343 By Matching Biggest Common Factor Method

Greatest Common Factor of 5950,7343 By Matching Biggest Common Factor Method

Factors of 5950

List of positive integer factors of 5950 that divides 5950 without a remainder.

1,2,5,7,10,14,17,25,34,35,50,70,85,119,170,175,238,350,425,595,850,1190,2975,5950

Factors of 7343

List of positive integer factors of 7343 that divides 7343 without a remainder.

1,7,1049,7343

Greatest Common Factor

We found the factors 5950,7343 . The biggest common factor number is the GCF number.
So the greatest common factor 5950,7343 is 7.

Lets's calculate LCM of 85,959

Given numbers has no common factors except 1. So, there LCM is their product i.e 81515

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/81515

Therefore, the GCF of Fractions 5950/85,7343/959 is 7/81515

Least Common Multiple of 85,959 with GCF Formula

Least Common Multiple of 85,959 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 85,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,959) = 1

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

GCF(85,959) x common factors =1 x 1 = 1

LCM(85,959) = ( 85 × 959 ) / 1

LCM(85,959) = 81515 / 1

LCM(85,959) = 81515


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 5950/85, 7343/959

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 5950/85, 7343/959?

Answer: GCF of Numerators as per given numbers 5950/85, 7343/959 is

GCF of Numerators i.e. for 5950,7343 is 7

LCM of denominators i.e. for 85,959 is 81515.

Thus, GCF of Fractions is 7/81515.Finally, GCF of Fractions for 5950/85, 7343/959 is 7/81515.