Greatest Common Factor of 627/296, 7665/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 627/296, 7665/716

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 627/296,7665/716

Given fractions are 627/296,7665/716

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 627,7665

Greatest Common Factor of Numerators i.e. GCF of 627,7665 is 3 .

LCM of Denominators means LCM of 296,716 as per the given fractions.

LCM of 296,716 is 52984 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 627,7665

GCF of Fractions 627/296,7665/716 is 3/52984

3 627, 7665
209, 2555

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

Greatest Common Factor of 627,7665 By Matching Biggest Common Factor Method

Greatest Common Factor of 627,7665 By Matching Biggest Common Factor Method

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Factors of 7665

List of positive integer factors of 7665 that divides 7665 without a remainder.

1,3,5,7,15,21,35,73,105,219,365,511,1095,1533,2555,7665

Greatest Common Factor

We found the factors 627,7665 . The biggest common factor number is the GCF number.
So the greatest common factor 627,7665 is 3.

Lets's calculate LCM of 296,716

2 296, 716
2 148, 358
74, 179

∴ So the LCM of the given numbers is 2 x 2 x 74 x 179 = 52984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/52984

Therefore, the GCF of Fractions 627/296,7665/716 is 3/52984

Least Common Multiple of 296,716 with GCF Formula

Least Common Multiple of 296,716 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 296,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,716) = 4

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

GCF(296,716) x common factors =4 x 1 = 4

LCM(296,716) = ( 296 × 716 ) / 4

LCM(296,716) = 211936 / 4

LCM(296,716) = 52984


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 627/296, 7665/716

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 627/296, 7665/716?

Answer: GCF of Numerators as per given numbers 627/296, 7665/716 is

GCF of Numerators i.e. for 627,7665 is 3

LCM of denominators i.e. for 296,716 is 52984.

Thus, GCF of Fractions is 3/52984.Finally, GCF of Fractions for 627/296, 7665/716 is 3/52984.