Greatest Common Factor of 3567/951, 5958/5267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3567/951, 5958/5267

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 3567/951,5958/5267

Given fractions are 3567/951,5958/5267

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 3567,5958

Greatest Common Factor of Numerators i.e. GCF of 3567,5958 is 3 .

LCM of Denominators means LCM of 951,5267 as per the given fractions.

LCM of 951,5267 is 5008917 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3567,5958

GCF of Fractions 3567/951,5958/5267 is 3/5008917

3 3567, 5958
1189, 1986

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3567,5958 By Matching Biggest Common Factor Method

Greatest Common Factor of 3567,5958 By Matching Biggest Common Factor Method

Factors of 3567

List of positive integer factors of 3567 that divides 3567 without a remainder.

1,3,29,41,87,123,1189,3567

Factors of 5958

List of positive integer factors of 5958 that divides 5958 without a remainder.

1,2,3,6,9,18,331,662,993,1986,2979,5958

Greatest Common Factor

We found the factors 3567,5958 . The biggest common factor number is the GCF number.
So the greatest common factor 3567,5958 is 3.

Lets's calculate LCM of 951,5267

Given numbers has no common factors except 1. So, there LCM is their product i.e 5008917

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5008917

Therefore, the GCF of Fractions 3567/951,5958/5267 is 3/5008917

Least Common Multiple of 951,5267 with GCF Formula

Least Common Multiple of 951,5267 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 951,5267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(951,5267) = 1

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

GCF(951,5267) x common factors =1 x 1 = 1

LCM(951,5267) = ( 951 × 5267 ) / 1

LCM(951,5267) = 5008917 / 1

LCM(951,5267) = 5008917


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 3567/951, 5958/5267

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 3567/951, 5958/5267?

Answer: GCF of Numerators as per given numbers 3567/951, 5958/5267 is

GCF of Numerators i.e. for 3567,5958 is 3

LCM of denominators i.e. for 951,5267 is 5008917.

Thus, GCF of Fractions is 3/5008917.Finally, GCF of Fractions for 3567/951, 5958/5267 is 3/5008917.