Greatest Common Factor of 933/305, 665/967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 933/305, 665/967

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 933/305,665/967

Given fractions are 933/305,665/967

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 933,665

Greatest Common Factor of Numerators i.e. GCF of 933,665 is 1 .

LCM of Denominators means LCM of 305,967 as per the given fractions.

LCM of 305,967 is 294935 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 933,665

GCF of Fractions 933/305,665/967 is 1/294935

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

Greatest Common Factor of 933,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 933,665 By Matching Biggest Common Factor Method

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 933,665 . The biggest common factor number is the GCF number.
So the greatest common factor 933,665 is 1.

Lets's calculate LCM of 305,967

Given numbers has no common factors except 1. So, there LCM is their product i.e 294935

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/294935

Therefore, the GCF of Fractions 933/305,665/967 is 1/294935

Least Common Multiple of 305,967 with GCF Formula

Least Common Multiple of 305,967 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 305,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,967) = 1

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

GCF(305,967) x common factors =1 x 1 = 1

LCM(305,967) = ( 305 × 967 ) / 1

LCM(305,967) = 294935 / 1

LCM(305,967) = 294935


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 933/305, 665/967

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 933/305, 665/967?

Answer: GCF of Numerators as per given numbers 933/305, 665/967 is

GCF of Numerators i.e. for 933,665 is 1

LCM of denominators i.e. for 305,967 is 294935.

Thus, GCF of Fractions is 1/294935.Finally, GCF of Fractions for 933/305, 665/967 is 1/294935.