Greatest Common Factor of 5356/840, 4194/7161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5356/840, 4194/7161

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 5356/840,4194/7161

Given fractions are 5356/840,4194/7161

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 5356,4194

Greatest Common Factor of Numerators i.e. GCF of 5356,4194 is 2 .

LCM of Denominators means LCM of 840,7161 as per the given fractions.

LCM of 840,7161 is 286440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5356,4194

GCF of Fractions 5356/840,4194/7161 is 2/286440

2 5356, 4194
2678, 2097

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

Greatest Common Factor of 5356,4194 By Matching Biggest Common Factor Method

Greatest Common Factor of 5356,4194 By Matching Biggest Common Factor Method

Factors of 5356

List of positive integer factors of 5356 that divides 5356 without a remainder.

1,2,4,13,26,52,103,206,412,1339,2678,5356

Factors of 4194

List of positive integer factors of 4194 that divides 4194 without a remainder.

1,2,3,6,9,18,233,466,699,1398,2097,4194

Greatest Common Factor

We found the factors 5356,4194 . The biggest common factor number is the GCF number.
So the greatest common factor 5356,4194 is 2.

Lets's calculate LCM of 840,7161

3 840, 7161
7 280, 2387
40, 341

∴ So the LCM of the given numbers is 3 x 7 x 40 x 341 = 286440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/286440

Therefore, the GCF of Fractions 5356/840,4194/7161 is 2/286440

Least Common Multiple of 840,7161 with GCF Formula

Least Common Multiple of 840,7161 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 840,7161 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,7161) = 21

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

GCF(840,7161) x common factors =21 x 1 = 21

LCM(840,7161) = ( 840 × 7161 ) / 21

LCM(840,7161) = 6015240 / 21

LCM(840,7161) = 286440


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 5356/840, 4194/7161

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 5356/840, 4194/7161?

Answer: GCF of Numerators as per given numbers 5356/840, 4194/7161 is

GCF of Numerators i.e. for 5356,4194 is 2

LCM of denominators i.e. for 840,7161 is 286440.

Thus, GCF of Fractions is 2/286440.Finally, GCF of Fractions for 5356/840, 4194/7161 is 2/286440.