Greatest Common Factor of 7979/473, 9626/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7979/473, 9626/249

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 7979/473,9626/249

Given fractions are 7979/473,9626/249

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 7979,9626

Greatest Common Factor of Numerators i.e. GCF of 7979,9626 is 1 .

LCM of Denominators means LCM of 473,249 as per the given fractions.

LCM of 473,249 is 117777 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7979,9626

GCF of Fractions 7979/473,9626/249 is 1/117777

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

Greatest Common Factor of 7979,9626 By Matching Biggest Common Factor Method

Greatest Common Factor of 7979,9626 By Matching Biggest Common Factor Method

Factors of 7979

List of positive integer factors of 7979 that divides 7979 without a remainder.

1,79,101,7979

Factors of 9626

List of positive integer factors of 9626 that divides 9626 without a remainder.

1,2,4813,9626

Greatest Common Factor

We found the factors 7979,9626 . The biggest common factor number is the GCF number.
So the greatest common factor 7979,9626 is 1.

Lets's calculate LCM of 473,249

Given numbers has no common factors except 1. So, there LCM is their product i.e 117777

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117777

Therefore, the GCF of Fractions 7979/473,9626/249 is 1/117777

Least Common Multiple of 473,249 with GCF Formula

Least Common Multiple of 473,249 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 473,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(473,249) = 1

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

GCF(473,249) x common factors =1 x 1 = 1

LCM(473,249) = ( 473 × 249 ) / 1

LCM(473,249) = 117777 / 1

LCM(473,249) = 117777


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 7979/473, 9626/249

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 7979/473, 9626/249?

Answer: GCF of Numerators as per given numbers 7979/473, 9626/249 is

GCF of Numerators i.e. for 7979,9626 is 1

LCM of denominators i.e. for 473,249 is 117777.

Thus, GCF of Fractions is 1/117777.Finally, GCF of Fractions for 7979/473, 9626/249 is 1/117777.