Greatest Common Factor of 3066/963, 9072/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3066/963, 9072/696

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 3066/963,9072/696

Given fractions are 3066/963,9072/696

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 3066,9072

Greatest Common Factor of Numerators i.e. GCF of 3066,9072 is 42 .

LCM of Denominators means LCM of 963,696 as per the given fractions.

LCM of 963,696 is 223416 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3066,9072

GCF of Fractions 3066/963,9072/696 is 42/223416

2 3066, 9072
3 1533, 4536
7 511, 1512
73, 216

∴ So the GCF of the given numbers is 2 x 3 x 7 = 42

Greatest Common Factor of 3066,9072 By Matching Biggest Common Factor Method

Greatest Common Factor of 3066,9072 By Matching Biggest Common Factor Method

Factors of 3066

List of positive integer factors of 3066 that divides 3066 without a remainder.

1,2,3,6,7,14,21,42,73,146,219,438,511,1022,1533,3066

Factors of 9072

List of positive integer factors of 9072 that divides 9072 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,36,42,48,54,56,63,72,81,84,108,112,126,144,162,168,189,216,252,324,336,378,432,504,567,648,756,1008,1134,1296,1512,2268,3024,4536,9072

Greatest Common Factor

We found the factors 3066,9072 . The biggest common factor number is the GCF number.
So the greatest common factor 3066,9072 is 42.

Lets's calculate LCM of 963,696

3 963, 696
321, 232

∴ So the LCM of the given numbers is 3 x 321 x 232 = 223416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/223416

Therefore, the GCF of Fractions 3066/963,9072/696 is 42/223416

Least Common Multiple of 963,696 with GCF Formula

Least Common Multiple of 963,696 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 963,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(963,696) = 3

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

GCF(963,696) x common factors =3 x 1 = 3

LCM(963,696) = ( 963 × 696 ) / 3

LCM(963,696) = 670248 / 3

LCM(963,696) = 223416


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 3066/963, 9072/696

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 3066/963, 9072/696?

Answer: GCF of Numerators as per given numbers 3066/963, 9072/696 is

GCF of Numerators i.e. for 3066,9072 is 42

LCM of denominators i.e. for 963,696 is 223416.

Thus, GCF of Fractions is 42/223416.Finally, GCF of Fractions for 3066/963, 9072/696 is 42/223416.