Greatest Common Factor of 9612/64, 4944/455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9612/64, 4944/455

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 9612/64,4944/455

Given fractions are 9612/64,4944/455

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 9612,4944

Greatest Common Factor of Numerators i.e. GCF of 9612,4944 is 12 .

LCM of Denominators means LCM of 64,455 as per the given fractions.

LCM of 64,455 is 29120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9612,4944

GCF of Fractions 9612/64,4944/455 is 12/29120

2 9612, 4944
2 4806, 2472
3 2403, 1236
801, 412

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 9612,4944 By Matching Biggest Common Factor Method

Greatest Common Factor of 9612,4944 By Matching Biggest Common Factor Method

Factors of 9612

List of positive integer factors of 9612 that divides 9612 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,89,108,178,267,356,534,801,1068,1602,2403,3204,4806,9612

Factors of 4944

List of positive integer factors of 4944 that divides 4944 without a remainder.

1,2,3,4,6,8,12,16,24,48,103,206,309,412,618,824,1236,1648,2472,4944

Greatest Common Factor

We found the factors 9612,4944 . The biggest common factor number is the GCF number.
So the greatest common factor 9612,4944 is 12.

Lets's calculate LCM of 64,455

Given numbers has no common factors except 1. So, there LCM is their product i.e 29120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/29120

Therefore, the GCF of Fractions 9612/64,4944/455 is 12/29120

Least Common Multiple of 64,455 with GCF Formula

Least Common Multiple of 64,455 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 64,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,455) = 1

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

GCF(64,455) x common factors =1 x 1 = 1

LCM(64,455) = ( 64 × 455 ) / 1

LCM(64,455) = 29120 / 1

LCM(64,455) = 29120


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 9612/64, 4944/455

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 9612/64, 4944/455?

Answer: GCF of Numerators as per given numbers 9612/64, 4944/455 is

GCF of Numerators i.e. for 9612,4944 is 12

LCM of denominators i.e. for 64,455 is 29120.

Thus, GCF of Fractions is 12/29120.Finally, GCF of Fractions for 9612/64, 4944/455 is 12/29120.