Greatest Common Factor of 451/720, 4961/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 451/720, 4961/722

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 451/720,4961/722

Given fractions are 451/720,4961/722

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 451,4961

Greatest Common Factor of Numerators i.e. GCF of 451,4961 is 451 .

LCM of Denominators means LCM of 720,722 as per the given fractions.

LCM of 720,722 is 259920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 451,4961

GCF of Fractions 451/720,4961/722 is 451/259920

11 451, 4961
41 41, 451
1, 11

∴ So the GCF of the given numbers is 11 x 41 = 451

Greatest Common Factor of 451,4961 By Matching Biggest Common Factor Method

Greatest Common Factor of 451,4961 By Matching Biggest Common Factor Method

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Factors of 4961

List of positive integer factors of 4961 that divides 4961 without a remainder.

1,11,41,121,451,4961

Greatest Common Factor

We found the factors 451,4961 . The biggest common factor number is the GCF number.
So the greatest common factor 451,4961 is 451.

Lets's calculate LCM of 720,722

2 720, 722
360, 361

∴ So the LCM of the given numbers is 2 x 360 x 361 = 259920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 451/259920

Therefore, the GCF of Fractions 451/720,4961/722 is 451/259920

Least Common Multiple of 720,722 with GCF Formula

Least Common Multiple of 720,722 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 720,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,722) = 2

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

GCF(720,722) x common factors =2 x 1 = 2

LCM(720,722) = ( 720 × 722 ) / 2

LCM(720,722) = 519840 / 2

LCM(720,722) = 259920


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 451/720, 4961/722

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 451/720, 4961/722?

Answer: GCF of Numerators as per given numbers 451/720, 4961/722 is

GCF of Numerators i.e. for 451,4961 is 451

LCM of denominators i.e. for 720,722 is 259920.

Thus, GCF of Fractions is 451/259920.Finally, GCF of Fractions for 451/720, 4961/722 is 451/259920.