Greatest Common Factor of 73/372, 507/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 73/372, 507/824

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 73/372,507/824

Given fractions are 73/372,507/824

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 73,507

Greatest Common Factor of Numerators i.e. GCF of 73,507 is 1 .

LCM of Denominators means LCM of 372,824 as per the given fractions.

LCM of 372,824 is 76632 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 73,507

GCF of Fractions 73/372,507/824 is 1/76632

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

Greatest Common Factor of 73,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,507 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors 73,507 . The biggest common factor number is the GCF number.
So the greatest common factor 73,507 is 1.

Lets's calculate LCM of 372,824

2 372, 824
2 186, 412
93, 206

∴ So the LCM of the given numbers is 2 x 2 x 93 x 206 = 76632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76632

Therefore, the GCF of Fractions 73/372,507/824 is 1/76632

Least Common Multiple of 372,824 with GCF Formula

Least Common Multiple of 372,824 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 372,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(372,824) = 4

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

GCF(372,824) x common factors =4 x 1 = 4

LCM(372,824) = ( 372 × 824 ) / 4

LCM(372,824) = 306528 / 4

LCM(372,824) = 76632


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 73/372, 507/824

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 73/372, 507/824?

Answer: GCF of Numerators as per given numbers 73/372, 507/824 is

GCF of Numerators i.e. for 73,507 is 1

LCM of denominators i.e. for 372,824 is 76632.

Thus, GCF of Fractions is 1/76632.Finally, GCF of Fractions for 73/372, 507/824 is 1/76632.