Greatest Common Factor of 868/414, 649/331, 149/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 868/414, 649/331, 149/116

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 868/414,649/331,149/116

Given fractions are 868/414,649/331,149/116

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 868,649,149

Greatest Common Factor of Numerators i.e. GCF of 868,649,149 is 1 .

LCM of Denominators means LCM of 414,331,116 as per the given fractions.

LCM of 414,331,116 is 7947972 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 868,649,149

GCF of Fractions 868/414,649/331,149/116 is 1/7947972

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

Greatest Common Factor of 868,649,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,649,149 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 868,649,149 . The biggest common factor number is the GCF number.
So the greatest common factor 868,649,149 is 1.

Lets's calculate LCM of 414,331,116

2 414, 331, 116
207, 331, 58

∴ So the LCM of the given numbers is 2 x 207 x 331 x 58 = 7947972

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7947972

Therefore, the GCF of Fractions 868/414,649/331,149/116 is 1/7947972

Least Common Multiple of 414,331,116 with GCF Formula

Least Common Multiple of 414,331,116 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 414,331,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,331,116) = 1

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

GCF(414,331,116) x common factors =1 x 2 = 2

LCM(414,331,116) = ( 414 × 331 × 116 ) / 2

LCM(414,331,116) = 15895944 / 2

LCM(414,331,116) = 7947972


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 868/414, 649/331, 149/116

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 868/414, 649/331, 149/116?

Answer: GCF of Numerators as per given numbers 868/414, 649/331, 149/116 is

GCF of Numerators i.e. for 868,649,149 is 1

LCM of denominators i.e. for 414,331,116 is 7947972.

Thus, GCF of Fractions is 1/7947972.Finally, GCF of Fractions for 868/414, 649/331, 149/116 is 1/7947972.