Greatest Common Factor of 5446/83, 3934/491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5446/83, 3934/491

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 5446/83,3934/491

Given fractions are 5446/83,3934/491

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 5446,3934

Greatest Common Factor of Numerators i.e. GCF of 5446,3934 is 14 .

LCM of Denominators means LCM of 83,491 as per the given fractions.

LCM of 83,491 is 40753 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5446,3934

GCF of Fractions 5446/83,3934/491 is 14/40753

2 5446, 3934
7 2723, 1967
389, 281

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 5446,3934 By Matching Biggest Common Factor Method

Greatest Common Factor of 5446,3934 By Matching Biggest Common Factor Method

Factors of 5446

List of positive integer factors of 5446 that divides 5446 without a remainder.

1,2,7,14,389,778,2723,5446

Factors of 3934

List of positive integer factors of 3934 that divides 3934 without a remainder.

1,2,7,14,281,562,1967,3934

Greatest Common Factor

We found the factors 5446,3934 . The biggest common factor number is the GCF number.
So the greatest common factor 5446,3934 is 14.

Lets's calculate LCM of 83,491

Given numbers has no common factors except 1. So, there LCM is their product i.e 40753

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/40753

Therefore, the GCF of Fractions 5446/83,3934/491 is 14/40753

Least Common Multiple of 83,491 with GCF Formula

Least Common Multiple of 83,491 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 83,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,491) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(83,491) x common factors =1 x 1 = 1

LCM(83,491) = ( 83 × 491 ) / 1

LCM(83,491) = 40753 / 1

LCM(83,491) = 40753


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 5446/83, 3934/491

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 5446/83, 3934/491?

Answer: GCF of Numerators as per given numbers 5446/83, 3934/491 is

GCF of Numerators i.e. for 5446,3934 is 14

LCM of denominators i.e. for 83,491 is 40753.

Thus, GCF of Fractions is 14/40753.Finally, GCF of Fractions for 5446/83, 3934/491 is 14/40753.