Greatest Common Factor of 9324/25, 1280/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9324/25, 1280/228

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 9324/25,1280/228

Given fractions are 9324/25,1280/228

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 9324,1280

Greatest Common Factor of Numerators i.e. GCF of 9324,1280 is 4 .

LCM of Denominators means LCM of 25,228 as per the given fractions.

LCM of 25,228 is 5700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9324,1280

GCF of Fractions 9324/25,1280/228 is 4/5700

2 9324, 1280
2 4662, 640
2331, 320

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9324,1280 By Matching Biggest Common Factor Method

Greatest Common Factor of 9324,1280 By Matching Biggest Common Factor Method

Factors of 9324

List of positive integer factors of 9324 that divides 9324 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,37,42,63,74,84,111,126,148,222,252,259,333,444,518,666,777,1036,1332,1554,2331,3108,4662,9324

Factors of 1280

List of positive integer factors of 1280 that divides 1280 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,640,1280

Greatest Common Factor

We found the factors 9324,1280 . The biggest common factor number is the GCF number.
So the greatest common factor 9324,1280 is 4.

Lets's calculate LCM of 25,228

Given numbers has no common factors except 1. So, there LCM is their product i.e 5700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5700

Therefore, the GCF of Fractions 9324/25,1280/228 is 4/5700

Least Common Multiple of 25,228 with GCF Formula

Least Common Multiple of 25,228 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 25,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,228) = 1

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

GCF(25,228) x common factors =1 x 1 = 1

LCM(25,228) = ( 25 × 228 ) / 1

LCM(25,228) = 5700 / 1

LCM(25,228) = 5700


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 9324/25, 1280/228

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 9324/25, 1280/228?

Answer: GCF of Numerators as per given numbers 9324/25, 1280/228 is

GCF of Numerators i.e. for 9324,1280 is 4

LCM of denominators i.e. for 25,228 is 5700.

Thus, GCF of Fractions is 4/5700.Finally, GCF of Fractions for 9324/25, 1280/228 is 4/5700.