Greatest Common Factor of 1146/43, 9357/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1146/43, 9357/416

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 1146/43,9357/416

Given fractions are 1146/43,9357/416

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 1146,9357

Greatest Common Factor of Numerators i.e. GCF of 1146,9357 is 3 .

LCM of Denominators means LCM of 43,416 as per the given fractions.

LCM of 43,416 is 17888 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1146,9357

GCF of Fractions 1146/43,9357/416 is 3/17888

3 1146, 9357
382, 3119

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

Greatest Common Factor of 1146,9357 By Matching Biggest Common Factor Method

Greatest Common Factor of 1146,9357 By Matching Biggest Common Factor Method

Factors of 1146

List of positive integer factors of 1146 that divides 1146 without a remainder.

1,2,3,6,191,382,573,1146

Factors of 9357

List of positive integer factors of 9357 that divides 9357 without a remainder.

1,3,3119,9357

Greatest Common Factor

We found the factors 1146,9357 . The biggest common factor number is the GCF number.
So the greatest common factor 1146,9357 is 3.

Lets's calculate LCM of 43,416

Given numbers has no common factors except 1. So, there LCM is their product i.e 17888

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17888

Therefore, the GCF of Fractions 1146/43,9357/416 is 3/17888

Least Common Multiple of 43,416 with GCF Formula

Least Common Multiple of 43,416 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 43,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,416) = 1

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

GCF(43,416) x common factors =1 x 1 = 1

LCM(43,416) = ( 43 × 416 ) / 1

LCM(43,416) = 17888 / 1

LCM(43,416) = 17888


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 1146/43, 9357/416

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 1146/43, 9357/416?

Answer: GCF of Numerators as per given numbers 1146/43, 9357/416 is

GCF of Numerators i.e. for 1146,9357 is 3

LCM of denominators i.e. for 43,416 is 17888.

Thus, GCF of Fractions is 3/17888.Finally, GCF of Fractions for 1146/43, 9357/416 is 3/17888.