Greatest Common Factor of 317/340, 742/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 317/340, 742/698

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 317/340,742/698

Given fractions are 317/340,742/698

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 317,742

Greatest Common Factor of Numerators i.e. GCF of 317,742 is 1 .

LCM of Denominators means LCM of 340,698 as per the given fractions.

LCM of 340,698 is 118660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 317,742

GCF of Fractions 317/340,742/698 is 1/118660

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

Greatest Common Factor of 317,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 317,742 By Matching Biggest Common Factor Method

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 742

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

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

Greatest Common Factor

We found the factors 317,742 . The biggest common factor number is the GCF number.
So the greatest common factor 317,742 is 1.

Lets's calculate LCM of 340,698

2 340, 698
170, 349

∴ So the LCM of the given numbers is 2 x 170 x 349 = 118660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/118660

Therefore, the GCF of Fractions 317/340,742/698 is 1/118660

Least Common Multiple of 340,698 with GCF Formula

Least Common Multiple of 340,698 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 340,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,698) = 2

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

GCF(340,698) x common factors =2 x 1 = 2

LCM(340,698) = ( 340 × 698 ) / 2

LCM(340,698) = 237320 / 2

LCM(340,698) = 118660


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 317/340, 742/698

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 317/340, 742/698?

Answer: GCF of Numerators as per given numbers 317/340, 742/698 is

GCF of Numerators i.e. for 317,742 is 1

LCM of denominators i.e. for 340,698 is 118660.

Thus, GCF of Fractions is 1/118660.Finally, GCF of Fractions for 317/340, 742/698 is 1/118660.