Greatest Common Factor of 337/51, 735/89, 508/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 337/51, 735/89, 508/103

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 337/51,735/89,508/103

Given fractions are 337/51,735/89,508/103

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 337,735,508

Greatest Common Factor of Numerators i.e. GCF of 337,735,508 is 1 .

LCM of Denominators means LCM of 51,89,103 as per the given fractions.

LCM of 51,89,103 is 467517 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 337,735,508

GCF of Fractions 337/51,735/89,508/103 is 1/467517

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

Greatest Common Factor of 337,735,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 337,735,508 By Matching Biggest Common Factor Method

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors 337,735,508 . The biggest common factor number is the GCF number.
So the greatest common factor 337,735,508 is 1.

Lets's calculate LCM of 51,89,103

Given numbers has no common factors except 1. So, there LCM is their product i.e 467517

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/467517

Therefore, the GCF of Fractions 337/51,735/89,508/103 is 1/467517

Least Common Multiple of 51,89,103 with GCF Formula

Least Common Multiple of 51,89,103 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 51,89,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,89,103) = 1

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

GCF(51,89,103) x common factors =1 x 1 = 1

LCM(51,89,103) = ( 51 × 89 × 103 ) / 1

LCM(51,89,103) = 467517 / 1

LCM(51,89,103) = 467517


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 337/51, 735/89, 508/103

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 337/51, 735/89, 508/103?

Answer: GCF of Numerators as per given numbers 337/51, 735/89, 508/103 is

GCF of Numerators i.e. for 337,735,508 is 1

LCM of denominators i.e. for 51,89,103 is 467517.

Thus, GCF of Fractions is 1/467517.Finally, GCF of Fractions for 337/51, 735/89, 508/103 is 1/467517.