Greatest Common Factor of 31/83, 25/28, 312/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 31/83, 25/28, 312/390

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 31/83,25/28,312/390

Given fractions are 31/83,25/28,312/390

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 31,25,312

Greatest Common Factor of Numerators i.e. GCF of 31,25,312 is 1 .

LCM of Denominators means LCM of 83,28,390 as per the given fractions.

LCM of 83,28,390 is 453180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 31,25,312

GCF of Fractions 31/83,25/28,312/390 is 1/453180

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

Greatest Common Factor of 31,25,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,25,312 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 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 31,25,312 . The biggest common factor number is the GCF number.
So the greatest common factor 31,25,312 is 1.

Lets's calculate LCM of 83,28,390

2 83, 28, 390
83, 14, 195

∴ So the LCM of the given numbers is 2 x 83 x 14 x 195 = 453180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/453180

Therefore, the GCF of Fractions 31/83,25/28,312/390 is 1/453180

Least Common Multiple of 83,28,390 with GCF Formula

Least Common Multiple of 83,28,390 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 83,28,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,28,390) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(83,28,390) x common factors =1 x 2 = 2

LCM(83,28,390) = ( 83 × 28 × 390 ) / 2

LCM(83,28,390) = 906360 / 2

LCM(83,28,390) = 453180


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 31/83, 25/28, 312/390

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 31/83, 25/28, 312/390?

Answer: GCF of Numerators as per given numbers 31/83, 25/28, 312/390 is

GCF of Numerators i.e. for 31,25,312 is 1

LCM of denominators i.e. for 83,28,390 is 453180.

Thus, GCF of Fractions is 1/453180.Finally, GCF of Fractions for 31/83, 25/28, 312/390 is 1/453180.