Greatest Common Factor of 6125/529, 9667/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6125/529, 9667/493

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 6125/529,9667/493

Given fractions are 6125/529,9667/493

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 6125,9667

Greatest Common Factor of Numerators i.e. GCF of 6125,9667 is 7 .

LCM of Denominators means LCM of 529,493 as per the given fractions.

LCM of 529,493 is 260797 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6125,9667

GCF of Fractions 6125/529,9667/493 is 7/260797

7 6125, 9667
875, 1381

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

Greatest Common Factor of 6125,9667 By Matching Biggest Common Factor Method

Greatest Common Factor of 6125,9667 By Matching Biggest Common Factor Method

Factors of 6125

List of positive integer factors of 6125 that divides 6125 without a remainder.

1,5,7,25,35,49,125,175,245,875,1225,6125

Factors of 9667

List of positive integer factors of 9667 that divides 9667 without a remainder.

1,7,1381,9667

Greatest Common Factor

We found the factors 6125,9667 . The biggest common factor number is the GCF number.
So the greatest common factor 6125,9667 is 7.

Lets's calculate LCM of 529,493

Given numbers has no common factors except 1. So, there LCM is their product i.e 260797

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/260797

Therefore, the GCF of Fractions 6125/529,9667/493 is 7/260797

Least Common Multiple of 529,493 with GCF Formula

Least Common Multiple of 529,493 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 529,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(529,493) = 1

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

GCF(529,493) x common factors =1 x 1 = 1

LCM(529,493) = ( 529 × 493 ) / 1

LCM(529,493) = 260797 / 1

LCM(529,493) = 260797


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 6125/529, 9667/493

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 6125/529, 9667/493?

Answer: GCF of Numerators as per given numbers 6125/529, 9667/493 is

GCF of Numerators i.e. for 6125,9667 is 7

LCM of denominators i.e. for 529,493 is 260797.

Thus, GCF of Fractions is 7/260797.Finally, GCF of Fractions for 6125/529, 9667/493 is 7/260797.