Greatest Common Factor of 759/512, 4653/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 759/512, 4653/596

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 759/512,4653/596

Given fractions are 759/512,4653/596

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 759,4653

Greatest Common Factor of Numerators i.e. GCF of 759,4653 is 33 .

LCM of Denominators means LCM of 512,596 as per the given fractions.

LCM of 512,596 is 76288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 759,4653

GCF of Fractions 759/512,4653/596 is 33/76288

3 759, 4653
11 253, 1551
23, 141

∴ So the GCF of the given numbers is 3 x 11 = 33

Greatest Common Factor of 759,4653 By Matching Biggest Common Factor Method

Greatest Common Factor of 759,4653 By Matching Biggest Common Factor Method

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 4653

List of positive integer factors of 4653 that divides 4653 without a remainder.

1,3,9,11,33,47,99,141,423,517,1551,4653

Greatest Common Factor

We found the factors 759,4653 . The biggest common factor number is the GCF number.
So the greatest common factor 759,4653 is 33.

Lets's calculate LCM of 512,596

2 512, 596
2 256, 298
128, 149

∴ So the LCM of the given numbers is 2 x 2 x 128 x 149 = 76288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/76288

Therefore, the GCF of Fractions 759/512,4653/596 is 33/76288

Least Common Multiple of 512,596 with GCF Formula

Least Common Multiple of 512,596 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 512,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,596) = 4

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

GCF(512,596) x common factors =4 x 1 = 4

LCM(512,596) = ( 512 × 596 ) / 4

LCM(512,596) = 305152 / 4

LCM(512,596) = 76288


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 759/512, 4653/596

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 759/512, 4653/596?

Answer: GCF of Numerators as per given numbers 759/512, 4653/596 is

GCF of Numerators i.e. for 759,4653 is 33

LCM of denominators i.e. for 512,596 is 76288.

Thus, GCF of Fractions is 33/76288.Finally, GCF of Fractions for 759/512, 4653/596 is 33/76288.