Greatest Common Factor of 820/618, 4246/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 820/618, 4246/114

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 820/618,4246/114

Given fractions are 820/618,4246/114

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 820,4246

Greatest Common Factor of Numerators i.e. GCF of 820,4246 is 2 .

LCM of Denominators means LCM of 618,114 as per the given fractions.

LCM of 618,114 is 11742 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 820,4246

GCF of Fractions 820/618,4246/114 is 2/11742

2 820, 4246
410, 2123

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

Greatest Common Factor of 820,4246 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,4246 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 4246

List of positive integer factors of 4246 that divides 4246 without a remainder.

1,2,11,22,193,386,2123,4246

Greatest Common Factor

We found the factors 820,4246 . The biggest common factor number is the GCF number.
So the greatest common factor 820,4246 is 2.

Lets's calculate LCM of 618,114

2 618, 114
3 309, 57
103, 19

∴ So the LCM of the given numbers is 2 x 3 x 103 x 19 = 11742

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11742

Therefore, the GCF of Fractions 820/618,4246/114 is 2/11742

Least Common Multiple of 618,114 with GCF Formula

Least Common Multiple of 618,114 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 618,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(618,114) = 6

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

GCF(618,114) x common factors =6 x 1 = 6

LCM(618,114) = ( 618 × 114 ) / 6

LCM(618,114) = 70452 / 6

LCM(618,114) = 11742


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 820/618, 4246/114

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 820/618, 4246/114?

Answer: GCF of Numerators as per given numbers 820/618, 4246/114 is

GCF of Numerators i.e. for 820,4246 is 2

LCM of denominators i.e. for 618,114 is 11742.

Thus, GCF of Fractions is 2/11742.Finally, GCF of Fractions for 820/618, 4246/114 is 2/11742.