Greatest Common Factor of 31/203, 37/277, 317/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 31/203, 37/277, 317/948

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 31/203,37/277,317/948

Given fractions are 31/203,37/277,317/948

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 31,37,317

Greatest Common Factor of Numerators i.e. GCF of 31,37,317 is 1 .

LCM of Denominators means LCM of 203,277,948 as per the given fractions.

LCM of 203,277,948 is 53306988 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 31,37,317

GCF of Fractions 31/203,37/277,317/948 is 1/53306988

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

Greatest Common Factor of 31,37,317 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,37,317 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 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Greatest Common Factor

We found the factors 31,37,317 . The biggest common factor number is the GCF number.
So the greatest common factor 31,37,317 is 1.

Lets's calculate LCM of 203,277,948

Given numbers has no common factors except 1. So, there LCM is their product i.e 53306988

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53306988

Therefore, the GCF of Fractions 31/203,37/277,317/948 is 1/53306988

Least Common Multiple of 203,277,948 with GCF Formula

Least Common Multiple of 203,277,948 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 203,277,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(203,277,948) = 1

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

GCF(203,277,948) x common factors =1 x 1 = 1

LCM(203,277,948) = ( 203 × 277 × 948 ) / 1

LCM(203,277,948) = 53306988 / 1

LCM(203,277,948) = 53306988


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 31/203, 37/277, 317/948

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 31/203, 37/277, 317/948?

Answer: GCF of Numerators as per given numbers 31/203, 37/277, 317/948 is

GCF of Numerators i.e. for 31,37,317 is 1

LCM of denominators i.e. for 203,277,948 is 53306988.

Thus, GCF of Fractions is 1/53306988.Finally, GCF of Fractions for 31/203, 37/277, 317/948 is 1/53306988.