Greatest Common Factor of 480/653, 9144/244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 480/653, 9144/244

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 480/653,9144/244

Given fractions are 480/653,9144/244

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 480,9144

Greatest Common Factor of Numerators i.e. GCF of 480,9144 is 24 .

LCM of Denominators means LCM of 653,244 as per the given fractions.

LCM of 653,244 is 159332 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 480,9144

GCF of Fractions 480/653,9144/244 is 24/159332

2 480, 9144
2 240, 4572
2 120, 2286
3 60, 1143
20, 381

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 480,9144 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,9144 By Matching Biggest Common Factor Method

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 9144

List of positive integer factors of 9144 that divides 9144 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,127,254,381,508,762,1016,1143,1524,2286,3048,4572,9144

Greatest Common Factor

We found the factors 480,9144 . The biggest common factor number is the GCF number.
So the greatest common factor 480,9144 is 24.

Lets's calculate LCM of 653,244

Given numbers has no common factors except 1. So, there LCM is their product i.e 159332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/159332

Therefore, the GCF of Fractions 480/653,9144/244 is 24/159332

Least Common Multiple of 653,244 with GCF Formula

Least Common Multiple of 653,244 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 653,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(653,244) = 1

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

GCF(653,244) x common factors =1 x 1 = 1

LCM(653,244) = ( 653 × 244 ) / 1

LCM(653,244) = 159332 / 1

LCM(653,244) = 159332


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 480/653, 9144/244

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 480/653, 9144/244?

Answer: GCF of Numerators as per given numbers 480/653, 9144/244 is

GCF of Numerators i.e. for 480,9144 is 24

LCM of denominators i.e. for 653,244 is 159332.

Thus, GCF of Fractions is 24/159332.Finally, GCF of Fractions for 480/653, 9144/244 is 24/159332.