Greatest Common Factor of 342/397, 8147/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 342/397, 8147/160

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 342/397,8147/160

Given fractions are 342/397,8147/160

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 342,8147

Greatest Common Factor of Numerators i.e. GCF of 342,8147 is 1 .

LCM of Denominators means LCM of 397,160 as per the given fractions.

LCM of 397,160 is 63520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 342,8147

GCF of Fractions 342/397,8147/160 is 1/63520

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

Greatest Common Factor of 342,8147 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,8147 By Matching Biggest Common Factor Method

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

Factors of 8147

List of positive integer factors of 8147 that divides 8147 without a remainder.

1,8147

Greatest Common Factor

We found the factors 342,8147 . The biggest common factor number is the GCF number.
So the greatest common factor 342,8147 is 1.

Lets's calculate LCM of 397,160

Given numbers has no common factors except 1. So, there LCM is their product i.e 63520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63520

Therefore, the GCF of Fractions 342/397,8147/160 is 1/63520

Least Common Multiple of 397,160 with GCF Formula

Least Common Multiple of 397,160 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 397,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(397,160) = 1

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

GCF(397,160) x common factors =1 x 1 = 1

LCM(397,160) = ( 397 × 160 ) / 1

LCM(397,160) = 63520 / 1

LCM(397,160) = 63520


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 342/397, 8147/160

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 342/397, 8147/160?

Answer: GCF of Numerators as per given numbers 342/397, 8147/160 is

GCF of Numerators i.e. for 342,8147 is 1

LCM of denominators i.e. for 397,160 is 63520.

Thus, GCF of Fractions is 1/63520.Finally, GCF of Fractions for 342/397, 8147/160 is 1/63520.