Greatest Common Factor of 371/44, 282/78, 864/184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 371/44, 282/78, 864/184

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 371/44,282/78,864/184

Given fractions are 371/44,282/78,864/184

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 371,282,864

Greatest Common Factor of Numerators i.e. GCF of 371,282,864 is 1 .

LCM of Denominators means LCM of 44,78,184 as per the given fractions.

LCM of 44,78,184 is 78936 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 371,282,864

GCF of Fractions 371/44,282/78,864/184 is 1/78936

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

Greatest Common Factor of 371,282,864 By Matching Biggest Common Factor Method

Greatest Common Factor of 371,282,864 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 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Greatest Common Factor

We found the factors 371,282,864 . The biggest common factor number is the GCF number.
So the greatest common factor 371,282,864 is 1.

Lets's calculate LCM of 44,78,184

2 44, 78, 184
2 22, 39, 92
11, 39, 46

∴ So the LCM of the given numbers is 2 x 2 x 11 x 39 x 46 = 78936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78936

Therefore, the GCF of Fractions 371/44,282/78,864/184 is 1/78936

Least Common Multiple of 44,78,184 with GCF Formula

Least Common Multiple of 44,78,184 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 44,78,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,78,184) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(44,78,184) x common factors =2 x 4 = 8

LCM(44,78,184) = ( 44 × 78 × 184 ) / 8

LCM(44,78,184) = 631488 / 8

LCM(44,78,184) = 78936


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 371/44, 282/78, 864/184

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 371/44, 282/78, 864/184?

Answer: GCF of Numerators as per given numbers 371/44, 282/78, 864/184 is

GCF of Numerators i.e. for 371,282,864 is 1

LCM of denominators i.e. for 44,78,184 is 78936.

Thus, GCF of Fractions is 1/78936.Finally, GCF of Fractions for 371/44, 282/78, 864/184 is 1/78936.