Greatest Common Factor of 7277/251, 4617/6532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7277/251, 4617/6532

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 7277/251,4617/6532

Given fractions are 7277/251,4617/6532

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 7277,4617

Greatest Common Factor of Numerators i.e. GCF of 7277,4617 is 19 .

LCM of Denominators means LCM of 251,6532 as per the given fractions.

LCM of 251,6532 is 1639532 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7277,4617

GCF of Fractions 7277/251,4617/6532 is 19/1639532

19 7277, 4617
383, 243

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 7277,4617 By Matching Biggest Common Factor Method

Greatest Common Factor of 7277,4617 By Matching Biggest Common Factor Method

Factors of 7277

List of positive integer factors of 7277 that divides 7277 without a remainder.

1,19,383,7277

Factors of 4617

List of positive integer factors of 4617 that divides 4617 without a remainder.

1,3,9,19,27,57,81,171,243,513,1539,4617

Greatest Common Factor

We found the factors 7277,4617 . The biggest common factor number is the GCF number.
So the greatest common factor 7277,4617 is 19.

Lets's calculate LCM of 251,6532

Given numbers has no common factors except 1. So, there LCM is their product i.e 1639532

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/1639532

Therefore, the GCF of Fractions 7277/251,4617/6532 is 19/1639532

Least Common Multiple of 251,6532 with GCF Formula

Least Common Multiple of 251,6532 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 251,6532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(251,6532) = 1

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

GCF(251,6532) x common factors =1 x 1 = 1

LCM(251,6532) = ( 251 × 6532 ) / 1

LCM(251,6532) = 1639532 / 1

LCM(251,6532) = 1639532


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 7277/251, 4617/6532

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 7277/251, 4617/6532?

Answer: GCF of Numerators as per given numbers 7277/251, 4617/6532 is

GCF of Numerators i.e. for 7277,4617 is 19

LCM of denominators i.e. for 251,6532 is 1639532.

Thus, GCF of Fractions is 19/1639532.Finally, GCF of Fractions for 7277/251, 4617/6532 is 19/1639532.