Greatest Common Factor of 867/39, 429/82, 278/14

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 867/39, 429/82, 278/14

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 867/39,429/82,278/14

Given fractions are 867/39,429/82,278/14

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 867,429,278

Greatest Common Factor of Numerators i.e. GCF of 867,429,278 is 1 .

LCM of Denominators means LCM of 39,82,14 as per the given fractions.

LCM of 39,82,14 is 22386 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 867,429,278

GCF of Fractions 867/39,429/82,278/14 is 1/22386

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

Greatest Common Factor of 867,429,278 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,429,278 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 429

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

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

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Greatest Common Factor

We found the factors 867,429,278 . The biggest common factor number is the GCF number.
So the greatest common factor 867,429,278 is 1.

Lets's calculate LCM of 39,82,14

2 39, 82, 14
39, 41, 7

∴ So the LCM of the given numbers is 2 x 39 x 41 x 7 = 22386

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22386

Therefore, the GCF of Fractions 867/39,429/82,278/14 is 1/22386

Least Common Multiple of 39,82,14 with GCF Formula

Least Common Multiple of 39,82,14 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 39,82,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,82,14) = 1

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

GCF(39,82,14) x common factors =1 x 2 = 2

LCM(39,82,14) = ( 39 × 82 × 14 ) / 2

LCM(39,82,14) = 44772 / 2

LCM(39,82,14) = 22386


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 867/39, 429/82, 278/14

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 867/39, 429/82, 278/14?

Answer: GCF of Numerators as per given numbers 867/39, 429/82, 278/14 is

GCF of Numerators i.e. for 867,429,278 is 1

LCM of denominators i.e. for 39,82,14 is 22386.

Thus, GCF of Fractions is 1/22386.Finally, GCF of Fractions for 867/39, 429/82, 278/14 is 1/22386.