Greatest Common Factor of 9110/989, 6554/246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9110/989, 6554/246

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 9110/989,6554/246

Given fractions are 9110/989,6554/246

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 9110,6554

Greatest Common Factor of Numerators i.e. GCF of 9110,6554 is 2 .

LCM of Denominators means LCM of 989,246 as per the given fractions.

LCM of 989,246 is 243294 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9110,6554

GCF of Fractions 9110/989,6554/246 is 2/243294

2 9110, 6554
4555, 3277

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

Greatest Common Factor of 9110,6554 By Matching Biggest Common Factor Method

Greatest Common Factor of 9110,6554 By Matching Biggest Common Factor Method

Factors of 9110

List of positive integer factors of 9110 that divides 9110 without a remainder.

1,2,5,10,911,1822,4555,9110

Factors of 6554

List of positive integer factors of 6554 that divides 6554 without a remainder.

1,2,29,58,113,226,3277,6554

Greatest Common Factor

We found the factors 9110,6554 . The biggest common factor number is the GCF number.
So the greatest common factor 9110,6554 is 2.

Lets's calculate LCM of 989,246

Given numbers has no common factors except 1. So, there LCM is their product i.e 243294

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/243294

Therefore, the GCF of Fractions 9110/989,6554/246 is 2/243294

Least Common Multiple of 989,246 with GCF Formula

Least Common Multiple of 989,246 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 989,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,246) = 1

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

GCF(989,246) x common factors =1 x 1 = 1

LCM(989,246) = ( 989 × 246 ) / 1

LCM(989,246) = 243294 / 1

LCM(989,246) = 243294


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 9110/989, 6554/246

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 9110/989, 6554/246?

Answer: GCF of Numerators as per given numbers 9110/989, 6554/246 is

GCF of Numerators i.e. for 9110,6554 is 2

LCM of denominators i.e. for 989,246 is 243294.

Thus, GCF of Fractions is 2/243294.Finally, GCF of Fractions for 9110/989, 6554/246 is 2/243294.