Greatest Common Factor of 742/31, 673/17, 335/19

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 742/31, 673/17, 335/19

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 742/31,673/17,335/19

Given fractions are 742/31,673/17,335/19

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 742,673,335

Greatest Common Factor of Numerators i.e. GCF of 742,673,335 is 1 .

LCM of Denominators means LCM of 31,17,19 as per the given fractions.

LCM of 31,17,19 is 10013 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 742,673,335

GCF of Fractions 742/31,673/17,335/19 is 1/10013

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

Greatest Common Factor of 742,673,335 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,673,335 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 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Greatest Common Factor

We found the factors 742,673,335 . The biggest common factor number is the GCF number.
So the greatest common factor 742,673,335 is 1.

Lets's calculate LCM of 31,17,19

Given numbers has no common factors except 1. So, there LCM is their product i.e 10013

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10013

Therefore, the GCF of Fractions 742/31,673/17,335/19 is 1/10013

Least Common Multiple of 31,17,19 with GCF Formula

Least Common Multiple of 31,17,19 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 31,17,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,17,19) = 1

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

GCF(31,17,19) x common factors =1 x 1 = 1

LCM(31,17,19) = ( 31 × 17 × 19 ) / 1

LCM(31,17,19) = 10013 / 1

LCM(31,17,19) = 10013


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 742/31, 673/17, 335/19

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 742/31, 673/17, 335/19?

Answer: GCF of Numerators as per given numbers 742/31, 673/17, 335/19 is

GCF of Numerators i.e. for 742,673,335 is 1

LCM of denominators i.e. for 31,17,19 is 10013.

Thus, GCF of Fractions is 1/10013.Finally, GCF of Fractions for 742/31, 673/17, 335/19 is 1/10013.