Greatest Common Factor of 537/600, 9209/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 537/600, 9209/824

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 537/600,9209/824

Given fractions are 537/600,9209/824

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 537,9209

Greatest Common Factor of Numerators i.e. GCF of 537,9209 is 1 .

LCM of Denominators means LCM of 600,824 as per the given fractions.

LCM of 600,824 is 61800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 537,9209

GCF of Fractions 537/600,9209/824 is 1/61800

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

Greatest Common Factor of 537,9209 By Matching Biggest Common Factor Method

Greatest Common Factor of 537,9209 By Matching Biggest Common Factor Method

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Factors of 9209

List of positive integer factors of 9209 that divides 9209 without a remainder.

1,9209

Greatest Common Factor

We found the factors 537,9209 . The biggest common factor number is the GCF number.
So the greatest common factor 537,9209 is 1.

Lets's calculate LCM of 600,824

2 600, 824
2 300, 412
2 150, 206
75, 103

∴ So the LCM of the given numbers is 2 x 2 x 2 x 75 x 103 = 61800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61800

Therefore, the GCF of Fractions 537/600,9209/824 is 1/61800

Least Common Multiple of 600,824 with GCF Formula

Least Common Multiple of 600,824 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 600,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,824) = 8

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

GCF(600,824) x common factors =8 x 1 = 8

LCM(600,824) = ( 600 × 824 ) / 8

LCM(600,824) = 494400 / 8

LCM(600,824) = 61800


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 537/600, 9209/824

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 537/600, 9209/824?

Answer: GCF of Numerators as per given numbers 537/600, 9209/824 is

GCF of Numerators i.e. for 537,9209 is 1

LCM of denominators i.e. for 600,824 is 61800.

Thus, GCF of Fractions is 1/61800.Finally, GCF of Fractions for 537/600, 9209/824 is 1/61800.