Greatest Common Factor of 653/49, 227/29, 342/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 653/49, 227/29, 342/520

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 653/49,227/29,342/520

Given fractions are 653/49,227/29,342/520

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 653,227,342

Greatest Common Factor of Numerators i.e. GCF of 653,227,342 is 1 .

LCM of Denominators means LCM of 49,29,520 as per the given fractions.

LCM of 49,29,520 is 738920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 653,227,342

GCF of Fractions 653/49,227/29,342/520 is 1/738920

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

Greatest Common Factor of 653,227,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 653,227,342 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 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 653,227,342 . The biggest common factor number is the GCF number.
So the greatest common factor 653,227,342 is 1.

Lets's calculate LCM of 49,29,520

Given numbers has no common factors except 1. So, there LCM is their product i.e 738920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/738920

Therefore, the GCF of Fractions 653/49,227/29,342/520 is 1/738920

Least Common Multiple of 49,29,520 with GCF Formula

Least Common Multiple of 49,29,520 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 49,29,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,29,520) = 1

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

GCF(49,29,520) x common factors =1 x 1 = 1

LCM(49,29,520) = ( 49 × 29 × 520 ) / 1

LCM(49,29,520) = 738920 / 1

LCM(49,29,520) = 738920


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 653/49, 227/29, 342/520

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 653/49, 227/29, 342/520?

Answer: GCF of Numerators as per given numbers 653/49, 227/29, 342/520 is

GCF of Numerators i.e. for 653,227,342 is 1

LCM of denominators i.e. for 49,29,520 is 738920.

Thus, GCF of Fractions is 1/738920.Finally, GCF of Fractions for 653/49, 227/29, 342/520 is 1/738920.