Greatest Common Factor of 661/182, 9896/203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 661/182, 9896/203

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 661/182,9896/203

Given fractions are 661/182,9896/203

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 661,9896

Greatest Common Factor of Numerators i.e. GCF of 661,9896 is 1 .

LCM of Denominators means LCM of 182,203 as per the given fractions.

LCM of 182,203 is 5278 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 661,9896

GCF of Fractions 661/182,9896/203 is 1/5278

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 661,9896 By Matching Biggest Common Factor Method

Greatest Common Factor of 661,9896 By Matching Biggest Common Factor Method

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Factors of 9896

List of positive integer factors of 9896 that divides 9896 without a remainder.

1,2,4,8,1237,2474,4948,9896

Greatest Common Factor

We found the factors 661,9896 . The biggest common factor number is the GCF number.
So the greatest common factor 661,9896 is 1.

Lets's calculate LCM of 182,203

7 182, 203
26, 29

∴ So the LCM of the given numbers is 7 x 26 x 29 = 5278

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5278

Therefore, the GCF of Fractions 661/182,9896/203 is 1/5278

Least Common Multiple of 182,203 with GCF Formula

Least Common Multiple of 182,203 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 182,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(182,203) = 7

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

GCF(182,203) x common factors =7 x 1 = 7

LCM(182,203) = ( 182 × 203 ) / 7

LCM(182,203) = 36946 / 7

LCM(182,203) = 5278


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 661/182, 9896/203

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 661/182, 9896/203?

Answer: GCF of Numerators as per given numbers 661/182, 9896/203 is

GCF of Numerators i.e. for 661,9896 is 1

LCM of denominators i.e. for 182,203 is 5278.

Thus, GCF of Fractions is 1/5278.Finally, GCF of Fractions for 661/182, 9896/203 is 1/5278.