Greatest Common Factor of 9026/196, 8806/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9026/196, 8806/182

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 9026/196,8806/182

Given fractions are 9026/196,8806/182

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 9026,8806

Greatest Common Factor of Numerators i.e. GCF of 9026,8806 is 2 .

LCM of Denominators means LCM of 196,182 as per the given fractions.

LCM of 196,182 is 2548 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9026,8806

GCF of Fractions 9026/196,8806/182 is 2/2548

2 9026, 8806
4513, 4403

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

Greatest Common Factor of 9026,8806 By Matching Biggest Common Factor Method

Greatest Common Factor of 9026,8806 By Matching Biggest Common Factor Method

Factors of 9026

List of positive integer factors of 9026 that divides 9026 without a remainder.

1,2,4513,9026

Factors of 8806

List of positive integer factors of 8806 that divides 8806 without a remainder.

1,2,7,14,17,34,37,74,119,238,259,518,629,1258,4403,8806

Greatest Common Factor

We found the factors 9026,8806 . The biggest common factor number is the GCF number.
So the greatest common factor 9026,8806 is 2.

Lets's calculate LCM of 196,182

2 196, 182
7 98, 91
14, 13

∴ So the LCM of the given numbers is 2 x 7 x 14 x 13 = 2548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2548

Therefore, the GCF of Fractions 9026/196,8806/182 is 2/2548

Least Common Multiple of 196,182 with GCF Formula

Least Common Multiple of 196,182 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 196,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,182) = 14

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

GCF(196,182) x common factors =14 x 1 = 14

LCM(196,182) = ( 196 × 182 ) / 14

LCM(196,182) = 35672 / 14

LCM(196,182) = 2548


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 9026/196, 8806/182

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 9026/196, 8806/182?

Answer: GCF of Numerators as per given numbers 9026/196, 8806/182 is

GCF of Numerators i.e. for 9026,8806 is 2

LCM of denominators i.e. for 196,182 is 2548.

Thus, GCF of Fractions is 2/2548.Finally, GCF of Fractions for 9026/196, 8806/182 is 2/2548.