Greatest Common Factor of 367/67, 968/86, 142/206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 367/67, 968/86, 142/206

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 367/67,968/86,142/206

Given fractions are 367/67,968/86,142/206

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 367,968,142

Greatest Common Factor of Numerators i.e. GCF of 367,968,142 is 1 .

LCM of Denominators means LCM of 67,86,206 as per the given fractions.

LCM of 67,86,206 is 593486 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 367,968,142

GCF of Fractions 367/67,968/86,142/206 is 1/593486

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

Greatest Common Factor of 367,968,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 367,968,142 By Matching Biggest Common Factor Method

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 367,968,142 . The biggest common factor number is the GCF number.
So the greatest common factor 367,968,142 is 1.

Lets's calculate LCM of 67,86,206

2 67, 86, 206
67, 43, 103

∴ So the LCM of the given numbers is 2 x 67 x 43 x 103 = 593486

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/593486

Therefore, the GCF of Fractions 367/67,968/86,142/206 is 1/593486

Least Common Multiple of 67,86,206 with GCF Formula

Least Common Multiple of 67,86,206 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 67,86,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,86,206) = 1

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

GCF(67,86,206) x common factors =1 x 2 = 2

LCM(67,86,206) = ( 67 × 86 × 206 ) / 2

LCM(67,86,206) = 1186972 / 2

LCM(67,86,206) = 593486


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 367/67, 968/86, 142/206

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 367/67, 968/86, 142/206?

Answer: GCF of Numerators as per given numbers 367/67, 968/86, 142/206 is

GCF of Numerators i.e. for 367,968,142 is 1

LCM of denominators i.e. for 67,86,206 is 593486.

Thus, GCF of Fractions is 1/593486.Finally, GCF of Fractions for 367/67, 968/86, 142/206 is 1/593486.