Greatest Common Factor of 651/582, 7315/3977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 651/582, 7315/3977

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 651/582,7315/3977

Given fractions are 651/582,7315/3977

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 651,7315

Greatest Common Factor of Numerators i.e. GCF of 651,7315 is 7 .

LCM of Denominators means LCM of 582,3977 as per the given fractions.

LCM of 582,3977 is 23862 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 651,7315

GCF of Fractions 651/582,7315/3977 is 7/23862

7 651, 7315
93, 1045

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

Greatest Common Factor of 651,7315 By Matching Biggest Common Factor Method

Greatest Common Factor of 651,7315 By Matching Biggest Common Factor Method

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Factors of 7315

List of positive integer factors of 7315 that divides 7315 without a remainder.

1,5,7,11,19,35,55,77,95,133,209,385,665,1045,1463,7315

Greatest Common Factor

We found the factors 651,7315 . The biggest common factor number is the GCF number.
So the greatest common factor 651,7315 is 7.

Lets's calculate LCM of 582,3977

97 582, 3977
6, 41

∴ So the LCM of the given numbers is 97 x 6 x 41 = 23862

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/23862

Therefore, the GCF of Fractions 651/582,7315/3977 is 7/23862

Least Common Multiple of 582,3977 with GCF Formula

Least Common Multiple of 582,3977 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 582,3977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(582,3977) = 97

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

GCF(582,3977) x common factors =97 x 1 = 97

LCM(582,3977) = ( 582 × 3977 ) / 97

LCM(582,3977) = 2314614 / 97

LCM(582,3977) = 23862


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 651/582, 7315/3977

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 651/582, 7315/3977?

Answer: GCF of Numerators as per given numbers 651/582, 7315/3977 is

GCF of Numerators i.e. for 651,7315 is 7

LCM of denominators i.e. for 582,3977 is 23862.

Thus, GCF of Fractions is 7/23862.Finally, GCF of Fractions for 651/582, 7315/3977 is 7/23862.