Greatest Common Factor of 9126/835, 9815/111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9126/835, 9815/111

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 9126/835,9815/111

Given fractions are 9126/835,9815/111

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 9126,9815

Greatest Common Factor of Numerators i.e. GCF of 9126,9815 is 13 .

LCM of Denominators means LCM of 835,111 as per the given fractions.

LCM of 835,111 is 92685 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9126,9815

GCF of Fractions 9126/835,9815/111 is 13/92685

13 9126, 9815
702, 755

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 9126,9815 By Matching Biggest Common Factor Method

Greatest Common Factor of 9126,9815 By Matching Biggest Common Factor Method

Factors of 9126

List of positive integer factors of 9126 that divides 9126 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,169,234,338,351,507,702,1014,1521,3042,4563,9126

Factors of 9815

List of positive integer factors of 9815 that divides 9815 without a remainder.

1,5,13,65,151,755,1963,9815

Greatest Common Factor

We found the factors 9126,9815 . The biggest common factor number is the GCF number.
So the greatest common factor 9126,9815 is 13.

Lets's calculate LCM of 835,111

Given numbers has no common factors except 1. So, there LCM is their product i.e 92685

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/92685

Therefore, the GCF of Fractions 9126/835,9815/111 is 13/92685

Least Common Multiple of 835,111 with GCF Formula

Least Common Multiple of 835,111 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 835,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(835,111) = 1

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

GCF(835,111) x common factors =1 x 1 = 1

LCM(835,111) = ( 835 × 111 ) / 1

LCM(835,111) = 92685 / 1

LCM(835,111) = 92685


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 9126/835, 9815/111

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 9126/835, 9815/111?

Answer: GCF of Numerators as per given numbers 9126/835, 9815/111 is

GCF of Numerators i.e. for 9126,9815 is 13

LCM of denominators i.e. for 835,111 is 92685.

Thus, GCF of Fractions is 13/92685.Finally, GCF of Fractions for 9126/835, 9815/111 is 13/92685.