Greatest Common Factor of 31/145, 1789/9915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 31/145, 1789/9915

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 31/145,1789/9915

Given fractions are 31/145,1789/9915

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 31,1789

Greatest Common Factor of Numerators i.e. GCF of 31,1789 is 1 .

LCM of Denominators means LCM of 145,9915 as per the given fractions.

LCM of 145,9915 is 287535 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 31,1789

GCF of Fractions 31/145,1789/9915 is 1/287535

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

Greatest Common Factor of 31,1789 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,1789 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 1789

List of positive integer factors of 1789 that divides 1789 without a remainder.

1,1789

Greatest Common Factor

We found the factors 31,1789 . The biggest common factor number is the GCF number.
So the greatest common factor 31,1789 is 1.

Lets's calculate LCM of 145,9915

5 145, 9915
29, 1983

∴ So the LCM of the given numbers is 5 x 29 x 1983 = 287535

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/287535

Therefore, the GCF of Fractions 31/145,1789/9915 is 1/287535

Least Common Multiple of 145,9915 with GCF Formula

Least Common Multiple of 145,9915 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 145,9915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(145,9915) = 5

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

GCF(145,9915) x common factors =5 x 1 = 5

LCM(145,9915) = ( 145 × 9915 ) / 5

LCM(145,9915) = 1437675 / 5

LCM(145,9915) = 287535


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 31/145, 1789/9915

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 31/145, 1789/9915?

Answer: GCF of Numerators as per given numbers 31/145, 1789/9915 is

GCF of Numerators i.e. for 31,1789 is 1

LCM of denominators i.e. for 145,9915 is 287535.

Thus, GCF of Fractions is 1/287535.Finally, GCF of Fractions for 31/145, 1789/9915 is 1/287535.