Greatest Common Factor of 508/735, 1758/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 508/735, 1758/118

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 508/735,1758/118

Given fractions are 508/735,1758/118

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 508,1758

Greatest Common Factor of Numerators i.e. GCF of 508,1758 is 2 .

LCM of Denominators means LCM of 735,118 as per the given fractions.

LCM of 735,118 is 86730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 508,1758

GCF of Fractions 508/735,1758/118 is 2/86730

2 508, 1758
254, 879

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 508,1758 By Matching Biggest Common Factor Method

Greatest Common Factor of 508,1758 By Matching Biggest Common Factor Method

Factors of 508

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

1,2,4,127,254,508

Factors of 1758

List of positive integer factors of 1758 that divides 1758 without a remainder.

1,2,3,6,293,586,879,1758

Greatest Common Factor

We found the factors 508,1758 . The biggest common factor number is the GCF number.
So the greatest common factor 508,1758 is 2.

Lets's calculate LCM of 735,118

Given numbers has no common factors except 1. So, there LCM is their product i.e 86730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/86730

Therefore, the GCF of Fractions 508/735,1758/118 is 2/86730

Least Common Multiple of 735,118 with GCF Formula

Least Common Multiple of 735,118 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 735,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,118) = 1

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

GCF(735,118) x common factors =1 x 1 = 1

LCM(735,118) = ( 735 × 118 ) / 1

LCM(735,118) = 86730 / 1

LCM(735,118) = 86730


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 508/735, 1758/118

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 508/735, 1758/118?

Answer: GCF of Numerators as per given numbers 508/735, 1758/118 is

GCF of Numerators i.e. for 508,1758 is 2

LCM of denominators i.e. for 735,118 is 86730.

Thus, GCF of Fractions is 2/86730.Finally, GCF of Fractions for 508/735, 1758/118 is 2/86730.