Greatest Common Factor of 9367/190, 2766/1900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9367/190, 2766/1900

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 9367/190,2766/1900

Given fractions are 9367/190,2766/1900

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 9367,2766

Greatest Common Factor of Numerators i.e. GCF of 9367,2766 is 1 .

LCM of Denominators means LCM of 190,1900 as per the given fractions.

LCM of 190,1900 is 1900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9367,2766

GCF of Fractions 9367/190,2766/1900 is 1/1900

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

Greatest Common Factor of 9367,2766 By Matching Biggest Common Factor Method

Greatest Common Factor of 9367,2766 By Matching Biggest Common Factor Method

Factors of 9367

List of positive integer factors of 9367 that divides 9367 without a remainder.

1,17,19,29,323,493,551,9367

Factors of 2766

List of positive integer factors of 2766 that divides 2766 without a remainder.

1,2,3,6,461,922,1383,2766

Greatest Common Factor

We found the factors 9367,2766 . The biggest common factor number is the GCF number.
So the greatest common factor 9367,2766 is 1.

Lets's calculate LCM of 190,1900

2 190, 1900
5 95, 950
19 19, 190
1, 10

∴ So the LCM of the given numbers is 2 x 5 x 19 x 1 x 10 = 1900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1900

Therefore, the GCF of Fractions 9367/190,2766/1900 is 1/1900

Least Common Multiple of 190,1900 with GCF Formula

Least Common Multiple of 190,1900 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 190,1900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(190,1900) = 190

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

GCF(190,1900) x common factors =190 x 1 = 190

LCM(190,1900) = ( 190 × 1900 ) / 190

LCM(190,1900) = 361000 / 190

LCM(190,1900) = 1900


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 9367/190, 2766/1900

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 9367/190, 2766/1900?

Answer: GCF of Numerators as per given numbers 9367/190, 2766/1900 is

GCF of Numerators i.e. for 9367,2766 is 1

LCM of denominators i.e. for 190,1900 is 1900.

Thus, GCF of Fractions is 1/1900.Finally, GCF of Fractions for 9367/190, 2766/1900 is 1/1900.