Greatest Common Factor of 8676/603, 9468/2763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8676/603, 9468/2763

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 8676/603,9468/2763

Given fractions are 8676/603,9468/2763

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 8676,9468

Greatest Common Factor of Numerators i.e. GCF of 8676,9468 is 36 .

LCM of Denominators means LCM of 603,2763 as per the given fractions.

LCM of 603,2763 is 185121 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8676,9468

GCF of Fractions 8676/603,9468/2763 is 36/185121

2 8676, 9468
2 4338, 4734
3 2169, 2367
3 723, 789
241, 263

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Greatest Common Factor of 8676,9468 By Matching Biggest Common Factor Method

Greatest Common Factor of 8676,9468 By Matching Biggest Common Factor Method

Factors of 8676

List of positive integer factors of 8676 that divides 8676 without a remainder.

1,2,3,4,6,9,12,18,36,241,482,723,964,1446,2169,2892,4338,8676

Factors of 9468

List of positive integer factors of 9468 that divides 9468 without a remainder.

1,2,3,4,6,9,12,18,36,263,526,789,1052,1578,2367,3156,4734,9468

Greatest Common Factor

We found the factors 8676,9468 . The biggest common factor number is the GCF number.
So the greatest common factor 8676,9468 is 36.

Lets's calculate LCM of 603,2763

3 603, 2763
3 201, 921
67, 307

∴ So the LCM of the given numbers is 3 x 3 x 67 x 307 = 185121

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/185121

Therefore, the GCF of Fractions 8676/603,9468/2763 is 36/185121

Least Common Multiple of 603,2763 with GCF Formula

Least Common Multiple of 603,2763 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 603,2763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(603,2763) = 9

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

GCF(603,2763) x common factors =9 x 1 = 9

LCM(603,2763) = ( 603 × 2763 ) / 9

LCM(603,2763) = 1666089 / 9

LCM(603,2763) = 185121


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 8676/603, 9468/2763

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 8676/603, 9468/2763?

Answer: GCF of Numerators as per given numbers 8676/603, 9468/2763 is

GCF of Numerators i.e. for 8676,9468 is 36

LCM of denominators i.e. for 603,2763 is 185121.

Thus, GCF of Fractions is 36/185121.Finally, GCF of Fractions for 8676/603, 9468/2763 is 36/185121.