Greatest Common Factor of 7605/242, 7461/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7605/242, 7461/679

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 7605/242,7461/679

Given fractions are 7605/242,7461/679

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 7605,7461

Greatest Common Factor of Numerators i.e. GCF of 7605,7461 is 9 .

LCM of Denominators means LCM of 242,679 as per the given fractions.

LCM of 242,679 is 164318 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7605,7461

GCF of Fractions 7605/242,7461/679 is 9/164318

3 7605, 7461
3 2535, 2487
845, 829

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 7605,7461 By Matching Biggest Common Factor Method

Greatest Common Factor of 7605,7461 By Matching Biggest Common Factor Method

Factors of 7605

List of positive integer factors of 7605 that divides 7605 without a remainder.

1,3,5,9,13,15,39,45,65,117,169,195,507,585,845,1521,2535,7605

Factors of 7461

List of positive integer factors of 7461 that divides 7461 without a remainder.

1,3,9,829,2487,7461

Greatest Common Factor

We found the factors 7605,7461 . The biggest common factor number is the GCF number.
So the greatest common factor 7605,7461 is 9.

Lets's calculate LCM of 242,679

Given numbers has no common factors except 1. So, there LCM is their product i.e 164318

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/164318

Therefore, the GCF of Fractions 7605/242,7461/679 is 9/164318

Least Common Multiple of 242,679 with GCF Formula

Least Common Multiple of 242,679 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 242,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,679) = 1

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

GCF(242,679) x common factors =1 x 1 = 1

LCM(242,679) = ( 242 × 679 ) / 1

LCM(242,679) = 164318 / 1

LCM(242,679) = 164318


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 7605/242, 7461/679

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 7605/242, 7461/679?

Answer: GCF of Numerators as per given numbers 7605/242, 7461/679 is

GCF of Numerators i.e. for 7605,7461 is 9

LCM of denominators i.e. for 242,679 is 164318.

Thus, GCF of Fractions is 9/164318.Finally, GCF of Fractions for 7605/242, 7461/679 is 9/164318.