Greatest Common Factor of 9789/82, 1231/126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9789/82, 1231/126

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 9789/82,1231/126

Given fractions are 9789/82,1231/126

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 9789,1231

Greatest Common Factor of Numerators i.e. GCF of 9789,1231 is 1 .

LCM of Denominators means LCM of 82,126 as per the given fractions.

LCM of 82,126 is 5166 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9789,1231

GCF of Fractions 9789/82,1231/126 is 1/5166

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

Greatest Common Factor of 9789,1231 By Matching Biggest Common Factor Method

Greatest Common Factor of 9789,1231 By Matching Biggest Common Factor Method

Factors of 9789

List of positive integer factors of 9789 that divides 9789 without a remainder.

1,3,13,39,251,753,3263,9789

Factors of 1231

List of positive integer factors of 1231 that divides 1231 without a remainder.

1,1231

Greatest Common Factor

We found the factors 9789,1231 . The biggest common factor number is the GCF number.
So the greatest common factor 9789,1231 is 1.

Lets's calculate LCM of 82,126

2 82, 126
41, 63

∴ So the LCM of the given numbers is 2 x 41 x 63 = 5166

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5166

Therefore, the GCF of Fractions 9789/82,1231/126 is 1/5166

Least Common Multiple of 82,126 with GCF Formula

Least Common Multiple of 82,126 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 82,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,126) = 2

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

GCF(82,126) x common factors =2 x 1 = 2

LCM(82,126) = ( 82 × 126 ) / 2

LCM(82,126) = 10332 / 2

LCM(82,126) = 5166


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 9789/82, 1231/126

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 9789/82, 1231/126?

Answer: GCF of Numerators as per given numbers 9789/82, 1231/126 is

GCF of Numerators i.e. for 9789,1231 is 1

LCM of denominators i.e. for 82,126 is 5166.

Thus, GCF of Fractions is 1/5166.Finally, GCF of Fractions for 9789/82, 1231/126 is 1/5166.