Greatest Common Factor of 371/38, 254/59, 742/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 371/38, 254/59, 742/632

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 371/38,254/59,742/632

Given fractions are 371/38,254/59,742/632

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 371,254,742

Greatest Common Factor of Numerators i.e. GCF of 371,254,742 is 1 .

LCM of Denominators means LCM of 38,59,632 as per the given fractions.

LCM of 38,59,632 is 708472 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 371,254,742

GCF of Fractions 371/38,254/59,742/632 is 1/708472

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

Greatest Common Factor of 371,254,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 371,254,742 By Matching Biggest Common Factor Method

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 371,254,742 . The biggest common factor number is the GCF number.
So the greatest common factor 371,254,742 is 1.

Lets's calculate LCM of 38,59,632

2 38, 59, 632
19, 59, 316

∴ So the LCM of the given numbers is 2 x 19 x 59 x 316 = 708472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/708472

Therefore, the GCF of Fractions 371/38,254/59,742/632 is 1/708472

Least Common Multiple of 38,59,632 with GCF Formula

Least Common Multiple of 38,59,632 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 38,59,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,59,632) = 1

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

GCF(38,59,632) x common factors =1 x 2 = 2

LCM(38,59,632) = ( 38 × 59 × 632 ) / 2

LCM(38,59,632) = 1416944 / 2

LCM(38,59,632) = 708472


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 371/38, 254/59, 742/632

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 371/38, 254/59, 742/632?

Answer: GCF of Numerators as per given numbers 371/38, 254/59, 742/632 is

GCF of Numerators i.e. for 371,254,742 is 1

LCM of denominators i.e. for 38,59,632 is 708472.

Thus, GCF of Fractions is 1/708472.Finally, GCF of Fractions for 371/38, 254/59, 742/632 is 1/708472.