Greatest Common Factor of 376/75, 994/77, 476/84

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 376/75, 994/77, 476/84

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 376/75,994/77,476/84

Given fractions are 376/75,994/77,476/84

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 376,994,476

Greatest Common Factor of Numerators i.e. GCF of 376,994,476 is 2 .

LCM of Denominators means LCM of 75,77,84 as per the given fractions.

LCM of 75,77,84 is 23100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 376,994,476

GCF of Fractions 376/75,994/77,476/84 is 2/23100

2 376, 994, 476
188, 497, 238

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 376,994,476 By Matching Biggest Common Factor Method

Greatest Common Factor of 376,994,476 By Matching Biggest Common Factor Method

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Greatest Common Factor

We found the factors 376,994,476 . The biggest common factor number is the GCF number.
So the greatest common factor 376,994,476 is 2.

Lets's calculate LCM of 75,77,84

3 75, 77, 84
7 25, 77, 28
25, 11, 4

∴ So the LCM of the given numbers is 3 x 7 x 25 x 11 x 4 = 23100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23100

Therefore, the GCF of Fractions 376/75,994/77,476/84 is 2/23100

Least Common Multiple of 75,77,84 with GCF Formula

Least Common Multiple of 75,77,84 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 75,77,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,77,84) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(75,77,84) x common factors =1 x 21 = 21

LCM(75,77,84) = ( 75 × 77 × 84 ) / 21

LCM(75,77,84) = 485100 / 21

LCM(75,77,84) = 23100


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 376/75, 994/77, 476/84

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 376/75, 994/77, 476/84?

Answer: GCF of Numerators as per given numbers 376/75, 994/77, 476/84 is

GCF of Numerators i.e. for 376,994,476 is 2

LCM of denominators i.e. for 75,77,84 is 23100.

Thus, GCF of Fractions is 2/23100.Finally, GCF of Fractions for 376/75, 994/77, 476/84 is 2/23100.