Greatest Common Factor of 3151/590, 7313/8975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3151/590, 7313/8975

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 3151/590,7313/8975

Given fractions are 3151/590,7313/8975

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 3151,7313

Greatest Common Factor of Numerators i.e. GCF of 3151,7313 is 1 .

LCM of Denominators means LCM of 590,8975 as per the given fractions.

LCM of 590,8975 is 1059050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3151,7313

GCF of Fractions 3151/590,7313/8975 is 1/1059050

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3151,7313 By Matching Biggest Common Factor Method

Greatest Common Factor of 3151,7313 By Matching Biggest Common Factor Method

Factors of 3151

List of positive integer factors of 3151 that divides 3151 without a remainder.

1,23,137,3151

Factors of 7313

List of positive integer factors of 7313 that divides 7313 without a remainder.

1,71,103,7313

Greatest Common Factor

We found the factors 3151,7313 . The biggest common factor number is the GCF number.
So the greatest common factor 3151,7313 is 1.

Lets's calculate LCM of 590,8975

5 590, 8975
118, 1795

∴ So the LCM of the given numbers is 5 x 118 x 1795 = 1059050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1059050

Therefore, the GCF of Fractions 3151/590,7313/8975 is 1/1059050

Least Common Multiple of 590,8975 with GCF Formula

Least Common Multiple of 590,8975 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 590,8975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(590,8975) = 5

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

GCF(590,8975) x common factors =5 x 1 = 5

LCM(590,8975) = ( 590 × 8975 ) / 5

LCM(590,8975) = 5295250 / 5

LCM(590,8975) = 1059050


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 3151/590, 7313/8975

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 3151/590, 7313/8975?

Answer: GCF of Numerators as per given numbers 3151/590, 7313/8975 is

GCF of Numerators i.e. for 3151,7313 is 1

LCM of denominators i.e. for 590,8975 is 1059050.

Thus, GCF of Fractions is 1/1059050.Finally, GCF of Fractions for 3151/590, 7313/8975 is 1/1059050.