Greatest Common Factor of 6725/310, 3152/845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6725/310, 3152/845

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 6725/310,3152/845

Given fractions are 6725/310,3152/845

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 6725,3152

Greatest Common Factor of Numerators i.e. GCF of 6725,3152 is 1 .

LCM of Denominators means LCM of 310,845 as per the given fractions.

LCM of 310,845 is 52390 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6725,3152

GCF of Fractions 6725/310,3152/845 is 1/52390

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

Greatest Common Factor of 6725,3152 By Matching Biggest Common Factor Method

Greatest Common Factor of 6725,3152 By Matching Biggest Common Factor Method

Factors of 6725

List of positive integer factors of 6725 that divides 6725 without a remainder.

1,5,25,269,1345,6725

Factors of 3152

List of positive integer factors of 3152 that divides 3152 without a remainder.

1,2,4,8,16,197,394,788,1576,3152

Greatest Common Factor

We found the factors 6725,3152 . The biggest common factor number is the GCF number.
So the greatest common factor 6725,3152 is 1.

Lets's calculate LCM of 310,845

5 310, 845
62, 169

∴ So the LCM of the given numbers is 5 x 62 x 169 = 52390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52390

Therefore, the GCF of Fractions 6725/310,3152/845 is 1/52390

Least Common Multiple of 310,845 with GCF Formula

Least Common Multiple of 310,845 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 310,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,845) = 5

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

GCF(310,845) x common factors =5 x 1 = 5

LCM(310,845) = ( 310 × 845 ) / 5

LCM(310,845) = 261950 / 5

LCM(310,845) = 52390


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 6725/310, 3152/845

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 6725/310, 3152/845?

Answer: GCF of Numerators as per given numbers 6725/310, 3152/845 is

GCF of Numerators i.e. for 6725,3152 is 1

LCM of denominators i.e. for 310,845 is 52390.

Thus, GCF of Fractions is 1/52390.Finally, GCF of Fractions for 6725/310, 3152/845 is 1/52390.