Greatest Common Factor of 653/121, 306/517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 653/121, 306/517

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 653/121,306/517

Given fractions are 653/121,306/517

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 653,306

Greatest Common Factor of Numerators i.e. GCF of 653,306 is 1 .

LCM of Denominators means LCM of 121,517 as per the given fractions.

LCM of 121,517 is 5687 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 653,306

GCF of Fractions 653/121,306/517 is 1/5687

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

Greatest Common Factor of 653,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 653,306 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 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 653,306 . The biggest common factor number is the GCF number.
So the greatest common factor 653,306 is 1.

Lets's calculate LCM of 121,517

11 121, 517
11, 47

∴ So the LCM of the given numbers is 11 x 11 x 47 = 5687

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5687

Therefore, the GCF of Fractions 653/121,306/517 is 1/5687

Least Common Multiple of 121,517 with GCF Formula

Least Common Multiple of 121,517 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 121,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(121,517) = 11

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

GCF(121,517) x common factors =11 x 1 = 11

LCM(121,517) = ( 121 × 517 ) / 11

LCM(121,517) = 62557 / 11

LCM(121,517) = 5687


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 653/121, 306/517

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 653/121, 306/517?

Answer: GCF of Numerators as per given numbers 653/121, 306/517 is

GCF of Numerators i.e. for 653,306 is 1

LCM of denominators i.e. for 121,517 is 5687.

Thus, GCF of Fractions is 1/5687.Finally, GCF of Fractions for 653/121, 306/517 is 1/5687.