Greatest Common Factor of 43/76, 165/35, 893/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 43/76, 165/35, 893/944

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 43/76,165/35,893/944

Given fractions are 43/76,165/35,893/944

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 43,165,893

Greatest Common Factor of Numerators i.e. GCF of 43,165,893 is 1 .

LCM of Denominators means LCM of 76,35,944 as per the given fractions.

LCM of 76,35,944 is 627760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 43,165,893

GCF of Fractions 43/76,165/35,893/944 is 1/627760

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

Greatest Common Factor of 43,165,893 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,165,893 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Greatest Common Factor

We found the factors 43,165,893 . The biggest common factor number is the GCF number.
So the greatest common factor 43,165,893 is 1.

Lets's calculate LCM of 76,35,944

2 76, 35, 944
2 38, 35, 472
19, 35, 236

∴ So the LCM of the given numbers is 2 x 2 x 19 x 35 x 236 = 627760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/627760

Therefore, the GCF of Fractions 43/76,165/35,893/944 is 1/627760

Least Common Multiple of 76,35,944 with GCF Formula

Least Common Multiple of 76,35,944 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 76,35,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,35,944) = 1

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

GCF(76,35,944) x common factors =1 x 4 = 4

LCM(76,35,944) = ( 76 × 35 × 944 ) / 4

LCM(76,35,944) = 2511040 / 4

LCM(76,35,944) = 627760


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 43/76, 165/35, 893/944

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 43/76, 165/35, 893/944?

Answer: GCF of Numerators as per given numbers 43/76, 165/35, 893/944 is

GCF of Numerators i.e. for 43,165,893 is 1

LCM of denominators i.e. for 76,35,944 is 627760.

Thus, GCF of Fractions is 1/627760.Finally, GCF of Fractions for 43/76, 165/35, 893/944 is 1/627760.