Greatest Common Factor of 9764/76, 6786/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9764/76, 6786/282

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 9764/76,6786/282

Given fractions are 9764/76,6786/282

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 9764,6786

Greatest Common Factor of Numerators i.e. GCF of 9764,6786 is 2 .

LCM of Denominators means LCM of 76,282 as per the given fractions.

LCM of 76,282 is 10716 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9764,6786

GCF of Fractions 9764/76,6786/282 is 2/10716

2 9764, 6786
4882, 3393

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

Greatest Common Factor of 9764,6786 By Matching Biggest Common Factor Method

Greatest Common Factor of 9764,6786 By Matching Biggest Common Factor Method

Factors of 9764

List of positive integer factors of 9764 that divides 9764 without a remainder.

1,2,4,2441,4882,9764

Factors of 6786

List of positive integer factors of 6786 that divides 6786 without a remainder.

1,2,3,6,9,13,18,26,29,39,58,78,87,117,174,234,261,377,522,754,1131,2262,3393,6786

Greatest Common Factor

We found the factors 9764,6786 . The biggest common factor number is the GCF number.
So the greatest common factor 9764,6786 is 2.

Lets's calculate LCM of 76,282

2 76, 282
38, 141

∴ So the LCM of the given numbers is 2 x 38 x 141 = 10716

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10716

Therefore, the GCF of Fractions 9764/76,6786/282 is 2/10716

Least Common Multiple of 76,282 with GCF Formula

Least Common Multiple of 76,282 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 76,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,282) = 2

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

GCF(76,282) x common factors =2 x 1 = 2

LCM(76,282) = ( 76 × 282 ) / 2

LCM(76,282) = 21432 / 2

LCM(76,282) = 10716


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 9764/76, 6786/282

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 9764/76, 6786/282?

Answer: GCF of Numerators as per given numbers 9764/76, 6786/282 is

GCF of Numerators i.e. for 9764,6786 is 2

LCM of denominators i.e. for 76,282 is 10716.

Thus, GCF of Fractions is 2/10716.Finally, GCF of Fractions for 9764/76, 6786/282 is 2/10716.