Greatest Common Factor of 609/818, 8554/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 609/818, 8554/302

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 609/818,8554/302

Given fractions are 609/818,8554/302

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 609,8554

Greatest Common Factor of Numerators i.e. GCF of 609,8554 is 7 .

LCM of Denominators means LCM of 818,302 as per the given fractions.

LCM of 818,302 is 123518 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 609,8554

GCF of Fractions 609/818,8554/302 is 7/123518

7 609, 8554
87, 1222

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 609,8554 By Matching Biggest Common Factor Method

Greatest Common Factor of 609,8554 By Matching Biggest Common Factor Method

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 8554

List of positive integer factors of 8554 that divides 8554 without a remainder.

1,2,7,13,14,26,47,91,94,182,329,611,658,1222,4277,8554

Greatest Common Factor

We found the factors 609,8554 . The biggest common factor number is the GCF number.
So the greatest common factor 609,8554 is 7.

Lets's calculate LCM of 818,302

2 818, 302
409, 151

∴ So the LCM of the given numbers is 2 x 409 x 151 = 123518

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/123518

Therefore, the GCF of Fractions 609/818,8554/302 is 7/123518

Least Common Multiple of 818,302 with GCF Formula

Least Common Multiple of 818,302 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 818,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(818,302) = 2

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

GCF(818,302) x common factors =2 x 1 = 2

LCM(818,302) = ( 818 × 302 ) / 2

LCM(818,302) = 247036 / 2

LCM(818,302) = 123518


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 609/818, 8554/302

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 609/818, 8554/302?

Answer: GCF of Numerators as per given numbers 609/818, 8554/302 is

GCF of Numerators i.e. for 609,8554 is 7

LCM of denominators i.e. for 818,302 is 123518.

Thus, GCF of Fractions is 7/123518.Finally, GCF of Fractions for 609/818, 8554/302 is 7/123518.