Greatest Common Factor of 738/521, 451/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 738/521, 451/722

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 738/521,451/722

Given fractions are 738/521,451/722

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 738,451

Greatest Common Factor of Numerators i.e. GCF of 738,451 is 41 .

LCM of Denominators means LCM of 521,722 as per the given fractions.

LCM of 521,722 is 376162 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 738,451

GCF of Fractions 738/521,451/722 is 41/376162

41 738, 451
18, 11

∴ So the GCF of the given numbers is 41 = 41

Greatest Common Factor of 738,451 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,451 By Matching Biggest Common Factor Method

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 451

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

1,11,41,451

Greatest Common Factor

We found the factors 738,451 . The biggest common factor number is the GCF number.
So the greatest common factor 738,451 is 41.

Lets's calculate LCM of 521,722

Given numbers has no common factors except 1. So, there LCM is their product i.e 376162

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/376162

Therefore, the GCF of Fractions 738/521,451/722 is 41/376162

Least Common Multiple of 521,722 with GCF Formula

Least Common Multiple of 521,722 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 521,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(521,722) = 1

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

GCF(521,722) x common factors =1 x 1 = 1

LCM(521,722) = ( 521 × 722 ) / 1

LCM(521,722) = 376162 / 1

LCM(521,722) = 376162


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 738/521, 451/722

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 738/521, 451/722?

Answer: GCF of Numerators as per given numbers 738/521, 451/722 is

GCF of Numerators i.e. for 738,451 is 41

LCM of denominators i.e. for 521,722 is 376162.

Thus, GCF of Fractions is 41/376162.Finally, GCF of Fractions for 738/521, 451/722 is 41/376162.