Greatest Common Factor of 742/90, 339/24, 716/32

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 742/90, 339/24, 716/32

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 742/90,339/24,716/32

Given fractions are 742/90,339/24,716/32

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 742,339,716

Greatest Common Factor of Numerators i.e. GCF of 742,339,716 is 1 .

LCM of Denominators means LCM of 90,24,32 as per the given fractions.

LCM of 90,24,32 is 1440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 742,339,716

GCF of Fractions 742/90,339/24,716/32 is 1/1440

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

Greatest Common Factor of 742,339,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,339,716 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 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 742,339,716 . The biggest common factor number is the GCF number.
So the greatest common factor 742,339,716 is 1.

Lets's calculate LCM of 90,24,32

2 90, 24, 32
2 45, 12, 16
2 45, 6, 8
3 45, 3, 4
15, 1, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 15 x 1 x 4 = 1440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1440

Therefore, the GCF of Fractions 742/90,339/24,716/32 is 1/1440

Least Common Multiple of 90,24,32 with GCF Formula

Least Common Multiple of 90,24,32 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 90,24,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,24,32) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(90,24,32) x common factors =2 x 24 = 48

LCM(90,24,32) = ( 90 × 24 × 32 ) / 48

LCM(90,24,32) = 69120 / 48

LCM(90,24,32) = 1440


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 742/90, 339/24, 716/32

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 742/90, 339/24, 716/32?

Answer: GCF of Numerators as per given numbers 742/90, 339/24, 716/32 is

GCF of Numerators i.e. for 742,339,716 is 1

LCM of denominators i.e. for 90,24,32 is 1440.

Thus, GCF of Fractions is 1/1440.Finally, GCF of Fractions for 742/90, 339/24, 716/32 is 1/1440.