Greatest Common Factor of 733/58, 952/91, 868/73

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 733/58, 952/91, 868/73

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 733/58,952/91,868/73

Given fractions are 733/58,952/91,868/73

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 733,952,868

Greatest Common Factor of Numerators i.e. GCF of 733,952,868 is 1 .

LCM of Denominators means LCM of 58,91,73 as per the given fractions.

LCM of 58,91,73 is 385294 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 733,952,868

GCF of Fractions 733/58,952/91,868/73 is 1/385294

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

Greatest Common Factor of 733,952,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 733,952,868 By Matching Biggest Common Factor Method

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 733,952,868 . The biggest common factor number is the GCF number.
So the greatest common factor 733,952,868 is 1.

Lets's calculate LCM of 58,91,73

Given numbers has no common factors except 1. So, there LCM is their product i.e 385294

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/385294

Therefore, the GCF of Fractions 733/58,952/91,868/73 is 1/385294

Least Common Multiple of 58,91,73 with GCF Formula

Least Common Multiple of 58,91,73 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 58,91,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,91,73) = 1

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

GCF(58,91,73) x common factors =1 x 1 = 1

LCM(58,91,73) = ( 58 × 91 × 73 ) / 1

LCM(58,91,73) = 385294 / 1

LCM(58,91,73) = 385294


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 733/58, 952/91, 868/73

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 733/58, 952/91, 868/73?

Answer: GCF of Numerators as per given numbers 733/58, 952/91, 868/73 is

GCF of Numerators i.e. for 733,952,868 is 1

LCM of denominators i.e. for 58,91,73 is 385294.

Thus, GCF of Fractions is 1/385294.Finally, GCF of Fractions for 733/58, 952/91, 868/73 is 1/385294.