Greatest Common Factor of 39/16, 51/44, 639/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 39/16, 51/44, 639/286

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 39/16,51/44,639/286

Given fractions are 39/16,51/44,639/286

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 39,51,639

Greatest Common Factor of Numerators i.e. GCF of 39,51,639 is 3 .

LCM of Denominators means LCM of 16,44,286 as per the given fractions.

LCM of 16,44,286 is 2288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 39,51,639

GCF of Fractions 39/16,51/44,639/286 is 3/2288

3 39, 51, 639
13, 17, 213

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 39,51,639 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,51,639 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Greatest Common Factor

We found the factors 39,51,639 . The biggest common factor number is the GCF number.
So the greatest common factor 39,51,639 is 3.

Lets's calculate LCM of 16,44,286

2 16, 44, 286
2 8, 22, 143
11 4, 11, 143
4, 1, 13

∴ So the LCM of the given numbers is 2 x 2 x 11 x 4 x 1 x 13 = 2288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2288

Therefore, the GCF of Fractions 39/16,51/44,639/286 is 3/2288

Least Common Multiple of 16,44,286 with GCF Formula

Least Common Multiple of 16,44,286 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 16,44,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,44,286) = 2

common factors(in case of two or more numbers have common factors) = 44

GCF(16,44,286) x common factors =2 x 44 = 88

LCM(16,44,286) = ( 16 × 44 × 286 ) / 88

LCM(16,44,286) = 201344 / 88

LCM(16,44,286) = 2288


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 39/16, 51/44, 639/286

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 39/16, 51/44, 639/286?

Answer: GCF of Numerators as per given numbers 39/16, 51/44, 639/286 is

GCF of Numerators i.e. for 39,51,639 is 3

LCM of denominators i.e. for 16,44,286 is 2288.

Thus, GCF of Fractions is 3/2288.Finally, GCF of Fractions for 39/16, 51/44, 639/286 is 3/2288.