Greatest Common Factor of 4/20, 15/38, 39/836, 856/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/20, 15/38, 39/836, 856/418

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 4/20,15/38,39/836,856/418

Given fractions are 4/20,15/38,39/836,856/418

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 4,15,39,856

Greatest Common Factor of Numerators i.e. GCF of 4,15,39,856 is 1 .

LCM of Denominators means LCM of 20,38,836,418 as per the given fractions.

LCM of 20,38,836,418 is 4180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,15,39,856

GCF of Fractions 4/20,15/38,39/836,856/418 is 1/4180

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

Greatest Common Factor of 4,15,39,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,15,39,856 By Matching Biggest Common Factor Method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 39

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

1,3,13,39

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 4,15,39,856 . The biggest common factor number is the GCF number.
So the greatest common factor 4,15,39,856 is 1.

Lets's calculate LCM of 20,38,836,418

2 20, 38, 836, 418
2 10, 19, 418, 209
11 5, 19, 209, 209
19 5, 19, 19, 19
5, 1, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 11 x 19 x 5 x 1 x 1 x 1 = 4180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4180

Therefore, the GCF of Fractions 4/20,15/38,39/836,856/418 is 1/4180

Least Common Multiple of 20,38,836,418 with GCF Formula

Least Common Multiple of 20,38,836,418 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 20,38,836,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,38,836,418) = 2

common factors(in case of two or more numbers have common factors) = 31768

GCF(20,38,836,418) x common factors =2 x 31768 = 63536

LCM(20,38,836,418) = ( 20 × 38 × 836 × 418 ) / 63536

LCM(20,38,836,418) = 265580480 / 63536

LCM(20,38,836,418) = 4180


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 4/20, 15/38, 39/836, 856/418

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 4/20, 15/38, 39/836, 856/418?

Answer: GCF of Numerators as per given numbers 4/20, 15/38, 39/836, 856/418 is

GCF of Numerators i.e. for 4,15,39,856 is 1

LCM of denominators i.e. for 20,38,836,418 is 4180.

Thus, GCF of Fractions is 1/4180.Finally, GCF of Fractions for 4/20, 15/38, 39/836, 856/418 is 1/4180.