Greatest Common Factor of 1137/90, 9405/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1137/90, 9405/427

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 1137/90,9405/427

Given fractions are 1137/90,9405/427

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 1137,9405

Greatest Common Factor of Numerators i.e. GCF of 1137,9405 is 3 .

LCM of Denominators means LCM of 90,427 as per the given fractions.

LCM of 90,427 is 38430 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1137,9405

GCF of Fractions 1137/90,9405/427 is 3/38430

3 1137, 9405
379, 3135

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

Greatest Common Factor of 1137,9405 By Matching Biggest Common Factor Method

Greatest Common Factor of 1137,9405 By Matching Biggest Common Factor Method

Factors of 1137

List of positive integer factors of 1137 that divides 1137 without a remainder.

1,3,379,1137

Factors of 9405

List of positive integer factors of 9405 that divides 9405 without a remainder.

1,3,5,9,11,15,19,33,45,55,57,95,99,165,171,209,285,495,627,855,1045,1881,3135,9405

Greatest Common Factor

We found the factors 1137,9405 . The biggest common factor number is the GCF number.
So the greatest common factor 1137,9405 is 3.

Lets's calculate LCM of 90,427

Given numbers has no common factors except 1. So, there LCM is their product i.e 38430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/38430

Therefore, the GCF of Fractions 1137/90,9405/427 is 3/38430

Least Common Multiple of 90,427 with GCF Formula

Least Common Multiple of 90,427 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 90,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,427) = 1

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

GCF(90,427) x common factors =1 x 1 = 1

LCM(90,427) = ( 90 × 427 ) / 1

LCM(90,427) = 38430 / 1

LCM(90,427) = 38430


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 1137/90, 9405/427

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 1137/90, 9405/427?

Answer: GCF of Numerators as per given numbers 1137/90, 9405/427 is

GCF of Numerators i.e. for 1137,9405 is 3

LCM of denominators i.e. for 90,427 is 38430.

Thus, GCF of Fractions is 3/38430.Finally, GCF of Fractions for 1137/90, 9405/427 is 3/38430.