Greatest Common Factor of 381/31, 865/28, 470/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 381/31, 865/28, 470/954

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 381/31,865/28,470/954

Given fractions are 381/31,865/28,470/954

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 381,865,470

Greatest Common Factor of Numerators i.e. GCF of 381,865,470 is 1 .

LCM of Denominators means LCM of 31,28,954 as per the given fractions.

LCM of 31,28,954 is 414036 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 381,865,470

GCF of Fractions 381/31,865/28,470/954 is 1/414036

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

Greatest Common Factor of 381,865,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 381,865,470 By Matching Biggest Common Factor Method

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 381,865,470 . The biggest common factor number is the GCF number.
So the greatest common factor 381,865,470 is 1.

Lets's calculate LCM of 31,28,954

2 31, 28, 954
31, 14, 477

∴ So the LCM of the given numbers is 2 x 31 x 14 x 477 = 414036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/414036

Therefore, the GCF of Fractions 381/31,865/28,470/954 is 1/414036

Least Common Multiple of 31,28,954 with GCF Formula

Least Common Multiple of 31,28,954 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 31,28,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,28,954) = 1

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

GCF(31,28,954) x common factors =1 x 2 = 2

LCM(31,28,954) = ( 31 × 28 × 954 ) / 2

LCM(31,28,954) = 828072 / 2

LCM(31,28,954) = 414036


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 381/31, 865/28, 470/954

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 381/31, 865/28, 470/954?

Answer: GCF of Numerators as per given numbers 381/31, 865/28, 470/954 is

GCF of Numerators i.e. for 381,865,470 is 1

LCM of denominators i.e. for 31,28,954 is 414036.

Thus, GCF of Fractions is 1/414036.Finally, GCF of Fractions for 381/31, 865/28, 470/954 is 1/414036.