Greatest Common Factor of 31/17, 36/11, 485/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 31/17, 36/11, 485/915

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 31/17,36/11,485/915

Given fractions are 31/17,36/11,485/915

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 31,36,485

Greatest Common Factor of Numerators i.e. GCF of 31,36,485 is 1 .

LCM of Denominators means LCM of 17,11,915 as per the given fractions.

LCM of 17,11,915 is 171105 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 31,36,485

GCF of Fractions 31/17,36/11,485/915 is 1/171105

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

Greatest Common Factor of 31,36,485 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,36,485 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 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 485

List of positive integer factors of 485 that divides 485 without a remainder.

1,5,97,485

Greatest Common Factor

We found the factors 31,36,485 . The biggest common factor number is the GCF number.
So the greatest common factor 31,36,485 is 1.

Lets's calculate LCM of 17,11,915

Given numbers has no common factors except 1. So, there LCM is their product i.e 171105

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/171105

Therefore, the GCF of Fractions 31/17,36/11,485/915 is 1/171105

Least Common Multiple of 17,11,915 with GCF Formula

Least Common Multiple of 17,11,915 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 17,11,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,11,915) = 1

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

GCF(17,11,915) x common factors =1 x 1 = 1

LCM(17,11,915) = ( 17 × 11 × 915 ) / 1

LCM(17,11,915) = 171105 / 1

LCM(17,11,915) = 171105


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 31/17, 36/11, 485/915

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 31/17, 36/11, 485/915?

Answer: GCF of Numerators as per given numbers 31/17, 36/11, 485/915 is

GCF of Numerators i.e. for 31,36,485 is 1

LCM of denominators i.e. for 17,11,915 is 171105.

Thus, GCF of Fractions is 1/171105.Finally, GCF of Fractions for 31/17, 36/11, 485/915 is 1/171105.