Greatest Common Factor of 9513/855, 3798/967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9513/855, 3798/967

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 9513/855,3798/967

Given fractions are 9513/855,3798/967

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 9513,3798

Greatest Common Factor of Numerators i.e. GCF of 9513,3798 is 9 .

LCM of Denominators means LCM of 855,967 as per the given fractions.

LCM of 855,967 is 826785 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9513,3798

GCF of Fractions 9513/855,3798/967 is 9/826785

3 9513, 3798
3 3171, 1266
1057, 422

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 9513,3798 By Matching Biggest Common Factor Method

Greatest Common Factor of 9513,3798 By Matching Biggest Common Factor Method

Factors of 9513

List of positive integer factors of 9513 that divides 9513 without a remainder.

1,3,7,9,21,63,151,453,1057,1359,3171,9513

Factors of 3798

List of positive integer factors of 3798 that divides 3798 without a remainder.

1,2,3,6,9,18,211,422,633,1266,1899,3798

Greatest Common Factor

We found the factors 9513,3798 . The biggest common factor number is the GCF number.
So the greatest common factor 9513,3798 is 9.

Lets's calculate LCM of 855,967

Given numbers has no common factors except 1. So, there LCM is their product i.e 826785

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/826785

Therefore, the GCF of Fractions 9513/855,3798/967 is 9/826785

Least Common Multiple of 855,967 with GCF Formula

Least Common Multiple of 855,967 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 855,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(855,967) = 1

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

GCF(855,967) x common factors =1 x 1 = 1

LCM(855,967) = ( 855 × 967 ) / 1

LCM(855,967) = 826785 / 1

LCM(855,967) = 826785


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 9513/855, 3798/967

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 9513/855, 3798/967?

Answer: GCF of Numerators as per given numbers 9513/855, 3798/967 is

GCF of Numerators i.e. for 9513,3798 is 9

LCM of denominators i.e. for 855,967 is 826785.

Thus, GCF of Fractions is 9/826785.Finally, GCF of Fractions for 9513/855, 3798/967 is 9/826785.