Greatest Common Factor of 536/812, 5935/6304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 536/812, 5935/6304

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 536/812,5935/6304

Given fractions are 536/812,5935/6304

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 536,5935

Greatest Common Factor of Numerators i.e. GCF of 536,5935 is 1 .

LCM of Denominators means LCM of 812,6304 as per the given fractions.

LCM of 812,6304 is 1279712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 536,5935

GCF of Fractions 536/812,5935/6304 is 1/1279712

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

Greatest Common Factor of 536,5935 By Matching Biggest Common Factor Method

Greatest Common Factor of 536,5935 By Matching Biggest Common Factor Method

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 5935

List of positive integer factors of 5935 that divides 5935 without a remainder.

1,5,1187,5935

Greatest Common Factor

We found the factors 536,5935 . The biggest common factor number is the GCF number.
So the greatest common factor 536,5935 is 1.

Lets's calculate LCM of 812,6304

2 812, 6304
2 406, 3152
203, 1576

∴ So the LCM of the given numbers is 2 x 2 x 203 x 1576 = 1279712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1279712

Therefore, the GCF of Fractions 536/812,5935/6304 is 1/1279712

Least Common Multiple of 812,6304 with GCF Formula

Least Common Multiple of 812,6304 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 812,6304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(812,6304) = 4

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

GCF(812,6304) x common factors =4 x 1 = 4

LCM(812,6304) = ( 812 × 6304 ) / 4

LCM(812,6304) = 5118848 / 4

LCM(812,6304) = 1279712


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 536/812, 5935/6304

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 536/812, 5935/6304?

Answer: GCF of Numerators as per given numbers 536/812, 5935/6304 is

GCF of Numerators i.e. for 536,5935 is 1

LCM of denominators i.e. for 812,6304 is 1279712.

Thus, GCF of Fractions is 1/1279712.Finally, GCF of Fractions for 536/812, 5935/6304 is 1/1279712.