Greatest Common Factor of 667/26, 240/16, 429/205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 667/26, 240/16, 429/205

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 667/26,240/16,429/205

Given fractions are 667/26,240/16,429/205

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 667,240,429

Greatest Common Factor of Numerators i.e. GCF of 667,240,429 is 1 .

LCM of Denominators means LCM of 26,16,205 as per the given fractions.

LCM of 26,16,205 is 42640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 667,240,429

GCF of Fractions 667/26,240/16,429/205 is 1/42640

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

Greatest Common Factor of 667,240,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 667,240,429 By Matching Biggest Common Factor Method

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 667,240,429 . The biggest common factor number is the GCF number.
So the greatest common factor 667,240,429 is 1.

Lets's calculate LCM of 26,16,205

2 26, 16, 205
13, 8, 205

∴ So the LCM of the given numbers is 2 x 13 x 8 x 205 = 42640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42640

Therefore, the GCF of Fractions 667/26,240/16,429/205 is 1/42640

Least Common Multiple of 26,16,205 with GCF Formula

Least Common Multiple of 26,16,205 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 26,16,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,16,205) = 1

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

GCF(26,16,205) x common factors =1 x 2 = 2

LCM(26,16,205) = ( 26 × 16 × 205 ) / 2

LCM(26,16,205) = 85280 / 2

LCM(26,16,205) = 42640


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 667/26, 240/16, 429/205

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 667/26, 240/16, 429/205?

Answer: GCF of Numerators as per given numbers 667/26, 240/16, 429/205 is

GCF of Numerators i.e. for 667,240,429 is 1

LCM of denominators i.e. for 26,16,205 is 42640.

Thus, GCF of Fractions is 1/42640.Finally, GCF of Fractions for 667/26, 240/16, 429/205 is 1/42640.