Greatest Common Factor of 44/204, 364/918, 839/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/204, 364/918, 839/736

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 44/204,364/918,839/736

Given fractions are 44/204,364/918,839/736

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 44,364,839

Greatest Common Factor of Numerators i.e. GCF of 44,364,839 is 1 .

LCM of Denominators means LCM of 204,918,736 as per the given fractions.

LCM of 204,918,736 is 337824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,364,839

GCF of Fractions 44/204,364/918,839/736 is 1/337824

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

Greatest Common Factor of 44,364,839 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,364,839 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Greatest Common Factor

We found the factors 44,364,839 . The biggest common factor number is the GCF number.
So the greatest common factor 44,364,839 is 1.

Lets's calculate LCM of 204,918,736

2 204, 918, 736
2 102, 459, 368
3 51, 459, 184
17 17, 153, 184
1, 9, 184

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 1 x 9 x 184 = 337824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/337824

Therefore, the GCF of Fractions 44/204,364/918,839/736 is 1/337824

Least Common Multiple of 204,918,736 with GCF Formula

Least Common Multiple of 204,918,736 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 204,918,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,918,736) = 2

common factors(in case of two or more numbers have common factors) = 204

GCF(204,918,736) x common factors =2 x 204 = 408

LCM(204,918,736) = ( 204 × 918 × 736 ) / 408

LCM(204,918,736) = 137832192 / 408

LCM(204,918,736) = 337824


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 44/204, 364/918, 839/736

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 44/204, 364/918, 839/736?

Answer: GCF of Numerators as per given numbers 44/204, 364/918, 839/736 is

GCF of Numerators i.e. for 44,364,839 is 1

LCM of denominators i.e. for 204,918,736 is 337824.

Thus, GCF of Fractions is 1/337824.Finally, GCF of Fractions for 44/204, 364/918, 839/736 is 1/337824.