Greatest Common Factor of 3/95, 30/31, 75/305, 508/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/95, 30/31, 75/305, 508/744

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 3/95,30/31,75/305,508/744

Given fractions are 3/95,30/31,75/305,508/744

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 3,30,75,508

Greatest Common Factor of Numerators i.e. GCF of 3,30,75,508 is 1 .

LCM of Denominators means LCM of 95,31,305,744 as per the given fractions.

LCM of 95,31,305,744 is 4311480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,30,75,508

GCF of Fractions 3/95,30/31,75/305,508/744 is 1/4311480

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

Greatest Common Factor of 3,30,75,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,30,75,508 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

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 3,30,75,508 . The biggest common factor number is the GCF number.
So the greatest common factor 3,30,75,508 is 1.

Lets's calculate LCM of 95,31,305,744

5 95, 31, 305, 744
31 19, 31, 61, 744
19, 1, 61, 24

∴ So the LCM of the given numbers is 5 x 31 x 19 x 1 x 61 x 24 = 4311480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4311480

Therefore, the GCF of Fractions 3/95,30/31,75/305,508/744 is 1/4311480

Least Common Multiple of 95,31,305,744 with GCF Formula

Least Common Multiple of 95,31,305,744 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 95,31,305,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,31,305,744) = 1

common factors(in case of two or more numbers have common factors) = 155

GCF(95,31,305,744) x common factors =1 x 155 = 155

LCM(95,31,305,744) = ( 95 × 31 × 305 × 744 ) / 155

LCM(95,31,305,744) = 668279400 / 155

LCM(95,31,305,744) = 4311480


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 3/95, 30/31, 75/305, 508/744

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 3/95, 30/31, 75/305, 508/744?

Answer: GCF of Numerators as per given numbers 3/95, 30/31, 75/305, 508/744 is

GCF of Numerators i.e. for 3,30,75,508 is 1

LCM of denominators i.e. for 95,31,305,744 is 4311480.

Thus, GCF of Fractions is 1/4311480.Finally, GCF of Fractions for 3/95, 30/31, 75/305, 508/744 is 1/4311480.