Greatest Common Factor of 5236/838, 9018/653

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5236/838, 9018/653

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 5236/838,9018/653

Given fractions are 5236/838,9018/653

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 5236,9018

Greatest Common Factor of Numerators i.e. GCF of 5236,9018 is 2 .

LCM of Denominators means LCM of 838,653 as per the given fractions.

LCM of 838,653 is 547214 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5236,9018

GCF of Fractions 5236/838,9018/653 is 2/547214

2 5236, 9018
2618, 4509

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

Greatest Common Factor of 5236,9018 By Matching Biggest Common Factor Method

Greatest Common Factor of 5236,9018 By Matching Biggest Common Factor Method

Factors of 5236

List of positive integer factors of 5236 that divides 5236 without a remainder.

1,2,4,7,11,14,17,22,28,34,44,68,77,119,154,187,238,308,374,476,748,1309,2618,5236

Factors of 9018

List of positive integer factors of 9018 that divides 9018 without a remainder.

1,2,3,6,9,18,27,54,167,334,501,1002,1503,3006,4509,9018

Greatest Common Factor

We found the factors 5236,9018 . The biggest common factor number is the GCF number.
So the greatest common factor 5236,9018 is 2.

Lets's calculate LCM of 838,653

Given numbers has no common factors except 1. So, there LCM is their product i.e 547214

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/547214

Therefore, the GCF of Fractions 5236/838,9018/653 is 2/547214

Least Common Multiple of 838,653 with GCF Formula

Least Common Multiple of 838,653 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 838,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(838,653) = 1

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

GCF(838,653) x common factors =1 x 1 = 1

LCM(838,653) = ( 838 × 653 ) / 1

LCM(838,653) = 547214 / 1

LCM(838,653) = 547214


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 5236/838, 9018/653

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 5236/838, 9018/653?

Answer: GCF of Numerators as per given numbers 5236/838, 9018/653 is

GCF of Numerators i.e. for 5236,9018 is 2

LCM of denominators i.e. for 838,653 is 547214.

Thus, GCF of Fractions is 2/547214.Finally, GCF of Fractions for 5236/838, 9018/653 is 2/547214.