Greatest Common Factor of 742/80, 233/58, 342/911

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 742/80, 233/58, 342/911

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 742/80,233/58,342/911

Given fractions are 742/80,233/58,342/911

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 742,233,342

Greatest Common Factor of Numerators i.e. GCF of 742,233,342 is 1 .

LCM of Denominators means LCM of 80,58,911 as per the given fractions.

LCM of 80,58,911 is 2113520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 742,233,342

GCF of Fractions 742/80,233/58,342/911 is 1/2113520

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

Greatest Common Factor of 742,233,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,233,342 By Matching Biggest Common Factor Method

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 742,233,342 . The biggest common factor number is the GCF number.
So the greatest common factor 742,233,342 is 1.

Lets's calculate LCM of 80,58,911

2 80, 58, 911
40, 29, 911

∴ So the LCM of the given numbers is 2 x 40 x 29 x 911 = 2113520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2113520

Therefore, the GCF of Fractions 742/80,233/58,342/911 is 1/2113520

Least Common Multiple of 80,58,911 with GCF Formula

Least Common Multiple of 80,58,911 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 80,58,911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,58,911) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(80,58,911) x common factors =1 x 2 = 2

LCM(80,58,911) = ( 80 × 58 × 911 ) / 2

LCM(80,58,911) = 4227040 / 2

LCM(80,58,911) = 2113520


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 742/80, 233/58, 342/911

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 742/80, 233/58, 342/911?

Answer: GCF of Numerators as per given numbers 742/80, 233/58, 342/911 is

GCF of Numerators i.e. for 742,233,342 is 1

LCM of denominators i.e. for 80,58,911 is 2113520.

Thus, GCF of Fractions is 1/2113520.Finally, GCF of Fractions for 742/80, 233/58, 342/911 is 1/2113520.