Greatest Common Factor of 653/17, 385/98, 759/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 653/17, 385/98, 759/456

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 653/17,385/98,759/456

Given fractions are 653/17,385/98,759/456

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 653,385,759

Greatest Common Factor of Numerators i.e. GCF of 653,385,759 is 1 .

LCM of Denominators means LCM of 17,98,456 as per the given fractions.

LCM of 17,98,456 is 379848 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 653,385,759

GCF of Fractions 653/17,385/98,759/456 is 1/379848

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

Greatest Common Factor of 653,385,759 By Matching Biggest Common Factor Method

Greatest Common Factor of 653,385,759 By Matching Biggest Common Factor Method

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

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 653,385,759 . The biggest common factor number is the GCF number.
So the greatest common factor 653,385,759 is 1.

Lets's calculate LCM of 17,98,456

2 17, 98, 456
17, 49, 228

∴ So the LCM of the given numbers is 2 x 17 x 49 x 228 = 379848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/379848

Therefore, the GCF of Fractions 653/17,385/98,759/456 is 1/379848

Least Common Multiple of 17,98,456 with GCF Formula

Least Common Multiple of 17,98,456 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 17,98,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,98,456) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(17,98,456) x common factors =1 x 2 = 2

LCM(17,98,456) = ( 17 × 98 × 456 ) / 2

LCM(17,98,456) = 759696 / 2

LCM(17,98,456) = 379848


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 653/17, 385/98, 759/456

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 653/17, 385/98, 759/456?

Answer: GCF of Numerators as per given numbers 653/17, 385/98, 759/456 is

GCF of Numerators i.e. for 653,385,759 is 1

LCM of denominators i.e. for 17,98,456 is 379848.

Thus, GCF of Fractions is 1/379848.Finally, GCF of Fractions for 653/17, 385/98, 759/456 is 1/379848.