Greatest Common Factor of 533/772, 7852/6236

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 533/772, 7852/6236

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 533/772,7852/6236

Given fractions are 533/772,7852/6236

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 533,7852

Greatest Common Factor of Numerators i.e. GCF of 533,7852 is 13 .

LCM of Denominators means LCM of 772,6236 as per the given fractions.

LCM of 772,6236 is 1203548 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 533,7852

GCF of Fractions 533/772,7852/6236 is 13/1203548

13 533, 7852
41, 604

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 533,7852 By Matching Biggest Common Factor Method

Greatest Common Factor of 533,7852 By Matching Biggest Common Factor Method

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Factors of 7852

List of positive integer factors of 7852 that divides 7852 without a remainder.

1,2,4,13,26,52,151,302,604,1963,3926,7852

Greatest Common Factor

We found the factors 533,7852 . The biggest common factor number is the GCF number.
So the greatest common factor 533,7852 is 13.

Lets's calculate LCM of 772,6236

2 772, 6236
2 386, 3118
193, 1559

∴ So the LCM of the given numbers is 2 x 2 x 193 x 1559 = 1203548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1203548

Therefore, the GCF of Fractions 533/772,7852/6236 is 13/1203548

Least Common Multiple of 772,6236 with GCF Formula

Least Common Multiple of 772,6236 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 772,6236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,6236) = 4

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

GCF(772,6236) x common factors =4 x 1 = 4

LCM(772,6236) = ( 772 × 6236 ) / 4

LCM(772,6236) = 4814192 / 4

LCM(772,6236) = 1203548


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 533/772, 7852/6236

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 533/772, 7852/6236?

Answer: GCF of Numerators as per given numbers 533/772, 7852/6236 is

GCF of Numerators i.e. for 533,7852 is 13

LCM of denominators i.e. for 772,6236 is 1203548.

Thus, GCF of Fractions is 13/1203548.Finally, GCF of Fractions for 533/772, 7852/6236 is 13/1203548.