Greatest Common Factor of 7634/239, 9716/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7634/239, 9716/625

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 7634/239,9716/625

Given fractions are 7634/239,9716/625

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 7634,9716

Greatest Common Factor of Numerators i.e. GCF of 7634,9716 is 694 .

LCM of Denominators means LCM of 239,625 as per the given fractions.

LCM of 239,625 is 149375 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7634,9716

GCF of Fractions 7634/239,9716/625 is 694/149375

2 7634, 9716
347 3817, 4858
11, 14

∴ So the GCF of the given numbers is 2 x 347 = 694

Greatest Common Factor of 7634,9716 By Matching Biggest Common Factor Method

Greatest Common Factor of 7634,9716 By Matching Biggest Common Factor Method

Factors of 7634

List of positive integer factors of 7634 that divides 7634 without a remainder.

1,2,11,22,347,694,3817,7634

Factors of 9716

List of positive integer factors of 9716 that divides 9716 without a remainder.

1,2,4,7,14,28,347,694,1388,2429,4858,9716

Greatest Common Factor

We found the factors 7634,9716 . The biggest common factor number is the GCF number.
So the greatest common factor 7634,9716 is 694.

Lets's calculate LCM of 239,625

Given numbers has no common factors except 1. So, there LCM is their product i.e 149375

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 694/149375

Therefore, the GCF of Fractions 7634/239,9716/625 is 694/149375

Least Common Multiple of 239,625 with GCF Formula

Least Common Multiple of 239,625 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 239,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(239,625) = 1

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

GCF(239,625) x common factors =1 x 1 = 1

LCM(239,625) = ( 239 × 625 ) / 1

LCM(239,625) = 149375 / 1

LCM(239,625) = 149375


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 7634/239, 9716/625

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 7634/239, 9716/625?

Answer: GCF of Numerators as per given numbers 7634/239, 9716/625 is

GCF of Numerators i.e. for 7634,9716 is 694

LCM of denominators i.e. for 239,625 is 149375.

Thus, GCF of Fractions is 694/149375.Finally, GCF of Fractions for 7634/239, 9716/625 is 694/149375.