Greatest Common Factor of 418/735, 9185/967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 418/735, 9185/967

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 418/735,9185/967

Given fractions are 418/735,9185/967

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 418,9185

Greatest Common Factor of Numerators i.e. GCF of 418,9185 is 11 .

LCM of Denominators means LCM of 735,967 as per the given fractions.

LCM of 735,967 is 710745 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 418,9185

GCF of Fractions 418/735,9185/967 is 11/710745

11 418, 9185
38, 835

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 418,9185 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,9185 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 9185

List of positive integer factors of 9185 that divides 9185 without a remainder.

1,5,11,55,167,835,1837,9185

Greatest Common Factor

We found the factors 418,9185 . The biggest common factor number is the GCF number.
So the greatest common factor 418,9185 is 11.

Lets's calculate LCM of 735,967

Given numbers has no common factors except 1. So, there LCM is their product i.e 710745

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/710745

Therefore, the GCF of Fractions 418/735,9185/967 is 11/710745

Least Common Multiple of 735,967 with GCF Formula

Least Common Multiple of 735,967 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 735,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,967) = 1

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

GCF(735,967) x common factors =1 x 1 = 1

LCM(735,967) = ( 735 × 967 ) / 1

LCM(735,967) = 710745 / 1

LCM(735,967) = 710745


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 418/735, 9185/967

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 418/735, 9185/967?

Answer: GCF of Numerators as per given numbers 418/735, 9185/967 is

GCF of Numerators i.e. for 418,9185 is 11

LCM of denominators i.e. for 735,967 is 710745.

Thus, GCF of Fractions is 11/710745.Finally, GCF of Fractions for 418/735, 9185/967 is 11/710745.