Greatest Common Factor of 4876/456, 6915/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4876/456, 6915/753

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 4876/456,6915/753

Given fractions are 4876/456,6915/753

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 4876,6915

Greatest Common Factor of Numerators i.e. GCF of 4876,6915 is 1 .

LCM of Denominators means LCM of 456,753 as per the given fractions.

LCM of 456,753 is 114456 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4876,6915

GCF of Fractions 4876/456,6915/753 is 1/114456

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

Greatest Common Factor of 4876,6915 By Matching Biggest Common Factor Method

Greatest Common Factor of 4876,6915 By Matching Biggest Common Factor Method

Factors of 4876

List of positive integer factors of 4876 that divides 4876 without a remainder.

1,2,4,23,46,53,92,106,212,1219,2438,4876

Factors of 6915

List of positive integer factors of 6915 that divides 6915 without a remainder.

1,3,5,15,461,1383,2305,6915

Greatest Common Factor

We found the factors 4876,6915 . The biggest common factor number is the GCF number.
So the greatest common factor 4876,6915 is 1.

Lets's calculate LCM of 456,753

3 456, 753
152, 251

∴ So the LCM of the given numbers is 3 x 152 x 251 = 114456

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114456

Therefore, the GCF of Fractions 4876/456,6915/753 is 1/114456

Least Common Multiple of 456,753 with GCF Formula

Least Common Multiple of 456,753 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 456,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,753) = 3

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

GCF(456,753) x common factors =3 x 1 = 3

LCM(456,753) = ( 456 × 753 ) / 3

LCM(456,753) = 343368 / 3

LCM(456,753) = 114456


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 4876/456, 6915/753

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 4876/456, 6915/753?

Answer: GCF of Numerators as per given numbers 4876/456, 6915/753 is

GCF of Numerators i.e. for 4876,6915 is 1

LCM of denominators i.e. for 456,753 is 114456.

Thus, GCF of Fractions is 1/114456.Finally, GCF of Fractions for 4876/456, 6915/753 is 1/114456.