Greatest Common Factor of 9300/858, 9331/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9300/858, 9331/378

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 9300/858,9331/378

Given fractions are 9300/858,9331/378

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 9300,9331

Greatest Common Factor of Numerators i.e. GCF of 9300,9331 is 31 .

LCM of Denominators means LCM of 858,378 as per the given fractions.

LCM of 858,378 is 54054 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9300,9331

GCF of Fractions 9300/858,9331/378 is 31/54054

31 9300, 9331
300, 301

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 9300,9331 By Matching Biggest Common Factor Method

Greatest Common Factor of 9300,9331 By Matching Biggest Common Factor Method

Factors of 9300

List of positive integer factors of 9300 that divides 9300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,31,50,60,62,75,93,100,124,150,155,186,300,310,372,465,620,775,930,1550,1860,2325,3100,4650,9300

Factors of 9331

List of positive integer factors of 9331 that divides 9331 without a remainder.

1,7,31,43,217,301,1333,9331

Greatest Common Factor

We found the factors 9300,9331 . The biggest common factor number is the GCF number.
So the greatest common factor 9300,9331 is 31.

Lets's calculate LCM of 858,378

2 858, 378
3 429, 189
143, 63

∴ So the LCM of the given numbers is 2 x 3 x 143 x 63 = 54054

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/54054

Therefore, the GCF of Fractions 9300/858,9331/378 is 31/54054

Least Common Multiple of 858,378 with GCF Formula

Least Common Multiple of 858,378 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 858,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(858,378) = 6

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

GCF(858,378) x common factors =6 x 1 = 6

LCM(858,378) = ( 858 × 378 ) / 6

LCM(858,378) = 324324 / 6

LCM(858,378) = 54054


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 9300/858, 9331/378

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 9300/858, 9331/378?

Answer: GCF of Numerators as per given numbers 9300/858, 9331/378 is

GCF of Numerators i.e. for 9300,9331 is 31

LCM of denominators i.e. for 858,378 is 54054.

Thus, GCF of Fractions is 31/54054.Finally, GCF of Fractions for 9300/858, 9331/378 is 31/54054.