Greatest Common Factor of 5414/357, 4852/2142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5414/357, 4852/2142

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 5414/357,4852/2142

Given fractions are 5414/357,4852/2142

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 5414,4852

Greatest Common Factor of Numerators i.e. GCF of 5414,4852 is 2 .

LCM of Denominators means LCM of 357,2142 as per the given fractions.

LCM of 357,2142 is 2142 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5414,4852

GCF of Fractions 5414/357,4852/2142 is 2/2142

2 5414, 4852
2707, 2426

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

Greatest Common Factor of 5414,4852 By Matching Biggest Common Factor Method

Greatest Common Factor of 5414,4852 By Matching Biggest Common Factor Method

Factors of 5414

List of positive integer factors of 5414 that divides 5414 without a remainder.

1,2,2707,5414

Factors of 4852

List of positive integer factors of 4852 that divides 4852 without a remainder.

1,2,4,1213,2426,4852

Greatest Common Factor

We found the factors 5414,4852 . The biggest common factor number is the GCF number.
So the greatest common factor 5414,4852 is 2.

Lets's calculate LCM of 357,2142

3 357, 2142
7 119, 714
17 17, 102
1, 6

∴ So the LCM of the given numbers is 3 x 7 x 17 x 1 x 6 = 2142

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2142

Therefore, the GCF of Fractions 5414/357,4852/2142 is 2/2142

Least Common Multiple of 357,2142 with GCF Formula

Least Common Multiple of 357,2142 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 357,2142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(357,2142) = 357

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

GCF(357,2142) x common factors =357 x 1 = 357

LCM(357,2142) = ( 357 × 2142 ) / 357

LCM(357,2142) = 764694 / 357

LCM(357,2142) = 2142


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 5414/357, 4852/2142

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 5414/357, 4852/2142?

Answer: GCF of Numerators as per given numbers 5414/357, 4852/2142 is

GCF of Numerators i.e. for 5414,4852 is 2

LCM of denominators i.e. for 357,2142 is 2142.

Thus, GCF of Fractions is 2/2142.Finally, GCF of Fractions for 5414/357, 4852/2142 is 2/2142.