Greatest Common Factor of 9261/28, 9460/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9261/28, 9460/304

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 9261/28,9460/304

Given fractions are 9261/28,9460/304

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 9261,9460

Greatest Common Factor of Numerators i.e. GCF of 9261,9460 is 1 .

LCM of Denominators means LCM of 28,304 as per the given fractions.

LCM of 28,304 is 2128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9261,9460

GCF of Fractions 9261/28,9460/304 is 1/2128

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9261,9460 By Matching Biggest Common Factor Method

Greatest Common Factor of 9261,9460 By Matching Biggest Common Factor Method

Factors of 9261

List of positive integer factors of 9261 that divides 9261 without a remainder.

1,3,7,9,21,27,49,63,147,189,343,441,1029,1323,3087,9261

Factors of 9460

List of positive integer factors of 9460 that divides 9460 without a remainder.

1,2,4,5,10,11,20,22,43,44,55,86,110,172,215,220,430,473,860,946,1892,2365,4730,9460

Greatest Common Factor

We found the factors 9261,9460 . The biggest common factor number is the GCF number.
So the greatest common factor 9261,9460 is 1.

Lets's calculate LCM of 28,304

2 28, 304
2 14, 152
7, 76

∴ So the LCM of the given numbers is 2 x 2 x 7 x 76 = 2128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2128

Therefore, the GCF of Fractions 9261/28,9460/304 is 1/2128

Least Common Multiple of 28,304 with GCF Formula

Least Common Multiple of 28,304 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 28,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,304) = 4

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

GCF(28,304) x common factors =4 x 1 = 4

LCM(28,304) = ( 28 × 304 ) / 4

LCM(28,304) = 8512 / 4

LCM(28,304) = 2128


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 9261/28, 9460/304

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 9261/28, 9460/304?

Answer: GCF of Numerators as per given numbers 9261/28, 9460/304 is

GCF of Numerators i.e. for 9261,9460 is 1

LCM of denominators i.e. for 28,304 is 2128.

Thus, GCF of Fractions is 1/2128.Finally, GCF of Fractions for 9261/28, 9460/304 is 1/2128.