Greatest Common Factor of 8798/154, 1266/2409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8798/154, 1266/2409

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 8798/154,1266/2409

Given fractions are 8798/154,1266/2409

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 8798,1266

Greatest Common Factor of Numerators i.e. GCF of 8798,1266 is 2 .

LCM of Denominators means LCM of 154,2409 as per the given fractions.

LCM of 154,2409 is 33726 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8798,1266

GCF of Fractions 8798/154,1266/2409 is 2/33726

2 8798, 1266
4399, 633

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

Greatest Common Factor of 8798,1266 By Matching Biggest Common Factor Method

Greatest Common Factor of 8798,1266 By Matching Biggest Common Factor Method

Factors of 8798

List of positive integer factors of 8798 that divides 8798 without a remainder.

1,2,53,83,106,166,4399,8798

Factors of 1266

List of positive integer factors of 1266 that divides 1266 without a remainder.

1,2,3,6,211,422,633,1266

Greatest Common Factor

We found the factors 8798,1266 . The biggest common factor number is the GCF number.
So the greatest common factor 8798,1266 is 2.

Lets's calculate LCM of 154,2409

11 154, 2409
14, 219

∴ So the LCM of the given numbers is 11 x 14 x 219 = 33726

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/33726

Therefore, the GCF of Fractions 8798/154,1266/2409 is 2/33726

Least Common Multiple of 154,2409 with GCF Formula

Least Common Multiple of 154,2409 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 154,2409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(154,2409) = 11

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

GCF(154,2409) x common factors =11 x 1 = 11

LCM(154,2409) = ( 154 × 2409 ) / 11

LCM(154,2409) = 370986 / 11

LCM(154,2409) = 33726


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 8798/154, 1266/2409

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 8798/154, 1266/2409?

Answer: GCF of Numerators as per given numbers 8798/154, 1266/2409 is

GCF of Numerators i.e. for 8798,1266 is 2

LCM of denominators i.e. for 154,2409 is 33726.

Thus, GCF of Fractions is 2/33726.Finally, GCF of Fractions for 8798/154, 1266/2409 is 2/33726.