Greatest Common Factor of 384/652, 759/567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 384/652, 759/567

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 384/652,759/567

Given fractions are 384/652,759/567

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 384,759

Greatest Common Factor of Numerators i.e. GCF of 384,759 is 3 .

LCM of Denominators means LCM of 652,567 as per the given fractions.

LCM of 652,567 is 369684 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 384,759

GCF of Fractions 384/652,759/567 is 3/369684

3 384, 759
128, 253

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 384,759 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,759 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 759

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

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

Greatest Common Factor

We found the factors 384,759 . The biggest common factor number is the GCF number.
So the greatest common factor 384,759 is 3.

Lets's calculate LCM of 652,567

Given numbers has no common factors except 1. So, there LCM is their product i.e 369684

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/369684

Therefore, the GCF of Fractions 384/652,759/567 is 3/369684

Least Common Multiple of 652,567 with GCF Formula

Least Common Multiple of 652,567 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 652,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(652,567) = 1

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

GCF(652,567) x common factors =1 x 1 = 1

LCM(652,567) = ( 652 × 567 ) / 1

LCM(652,567) = 369684 / 1

LCM(652,567) = 369684


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 384/652, 759/567

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 384/652, 759/567?

Answer: GCF of Numerators as per given numbers 384/652, 759/567 is

GCF of Numerators i.e. for 384,759 is 3

LCM of denominators i.e. for 652,567 is 369684.

Thus, GCF of Fractions is 3/369684.Finally, GCF of Fractions for 384/652, 759/567 is 3/369684.