Greatest Common Factor of 818/420, 9986/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 818/420, 9986/294

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 818/420,9986/294

Given fractions are 818/420,9986/294

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 818,9986

Greatest Common Factor of Numerators i.e. GCF of 818,9986 is 2 .

LCM of Denominators means LCM of 420,294 as per the given fractions.

LCM of 420,294 is 2940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 818,9986

GCF of Fractions 818/420,9986/294 is 2/2940

2 818, 9986
409, 4993

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

Greatest Common Factor of 818,9986 By Matching Biggest Common Factor Method

Greatest Common Factor of 818,9986 By Matching Biggest Common Factor Method

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 9986

List of positive integer factors of 9986 that divides 9986 without a remainder.

1,2,4993,9986

Greatest Common Factor

We found the factors 818,9986 . The biggest common factor number is the GCF number.
So the greatest common factor 818,9986 is 2.


Lets's calculate LCM of 420,294

2 420, 294
3 210, 147
7 70, 49
10, 7

∴ So the LCM of the given numbers is 2 x 3 x 7 x 10 x 7 = 2940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2940

Therefore, the GCF of Fractions 818/420,9986/294 is 2/2940

Least Common Multiple of 420,294 with GCF Formula

Least Common Multiple of 420,294 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 420,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,294) = 42

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

GCF(420,294) x common factors =42 x 1 = 42

LCM(420,294) = ( 420 × 294 ) / 42

LCM(420,294) = 123480 / 42

LCM(420,294) = 2940


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 818/420, 9986/294

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 818/420, 9986/294?

Answer: GCF of Numerators as per given numbers 818/420, 9986/294 is

GCF of Numerators i.e. for 818,9986 is 2

LCM of denominators i.e. for 420,294 is 2940.

Thus, GCF of Fractions is 2/2940.Finally, GCF of Fractions for 818/420, 9986/294 is 2/2940.