Greatest Common Factor of 9769/12, 4543/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9769/12, 4543/774

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 9769/12,4543/774

Given fractions are 9769/12,4543/774

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 9769,4543

Greatest Common Factor of Numerators i.e. GCF of 9769,4543 is 1 .

LCM of Denominators means LCM of 12,774 as per the given fractions.

LCM of 12,774 is 1548 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9769,4543

GCF of Fractions 9769/12,4543/774 is 1/1548

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

Greatest Common Factor of 9769,4543 By Matching Biggest Common Factor Method

Greatest Common Factor of 9769,4543 By Matching Biggest Common Factor Method

Factors of 9769

List of positive integer factors of 9769 that divides 9769 without a remainder.

1,9769

Factors of 4543

List of positive integer factors of 4543 that divides 4543 without a remainder.

1,7,11,59,77,413,649,4543

Greatest Common Factor

We found the factors 9769,4543 . The biggest common factor number is the GCF number.
So the greatest common factor 9769,4543 is 1.

Lets's calculate LCM of 12,774

2 12, 774
3 6, 387
2, 129

∴ So the LCM of the given numbers is 2 x 3 x 2 x 129 = 1548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1548

Therefore, the GCF of Fractions 9769/12,4543/774 is 1/1548

Least Common Multiple of 12,774 with GCF Formula

Least Common Multiple of 12,774 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 12,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,774) = 6

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

GCF(12,774) x common factors =6 x 1 = 6

LCM(12,774) = ( 12 × 774 ) / 6

LCM(12,774) = 9288 / 6

LCM(12,774) = 1548


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 9769/12, 4543/774

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 9769/12, 4543/774?

Answer: GCF of Numerators as per given numbers 9769/12, 4543/774 is

GCF of Numerators i.e. for 9769,4543 is 1

LCM of denominators i.e. for 12,774 is 1548.

Thus, GCF of Fractions is 1/1548.Finally, GCF of Fractions for 9769/12, 4543/774 is 1/1548.