Greatest Common Factor of 7/38, 20/58, 16/637, 814/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/38, 20/58, 16/637, 814/442

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 7/38,20/58,16/637,814/442

Given fractions are 7/38,20/58,16/637,814/442

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 7,20,16,814

Greatest Common Factor of Numerators i.e. GCF of 7,20,16,814 is 1 .

LCM of Denominators means LCM of 38,58,637,442 as per the given fractions.

LCM of 38,58,637,442 is 11933558 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,20,16,814

GCF of Fractions 7/38,20/58,16/637,814/442 is 1/11933558

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

Greatest Common Factor of 7,20,16,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,20,16,814 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 7,20,16,814 . The biggest common factor number is the GCF number.
So the greatest common factor 7,20,16,814 is 1.

Lets's calculate LCM of 38,58,637,442

2 38, 58, 637, 442
13 19, 29, 637, 221
19, 29, 49, 17

∴ So the LCM of the given numbers is 2 x 13 x 19 x 29 x 49 x 17 = 11933558

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11933558

Therefore, the GCF of Fractions 7/38,20/58,16/637,814/442 is 1/11933558

Least Common Multiple of 38,58,637,442 with GCF Formula

Least Common Multiple of 38,58,637,442 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 38,58,637,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,58,637,442) = 1

common factors(in case of two or more numbers have common factors) = 52

GCF(38,58,637,442) x common factors =1 x 52 = 52

LCM(38,58,637,442) = ( 38 × 58 × 637 × 442 ) / 52

LCM(38,58,637,442) = 620545016 / 52

LCM(38,58,637,442) = 11933558


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 7/38, 20/58, 16/637, 814/442

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 7/38, 20/58, 16/637, 814/442?

Answer: GCF of Numerators as per given numbers 7/38, 20/58, 16/637, 814/442 is

GCF of Numerators i.e. for 7,20,16,814 is 1

LCM of denominators i.e. for 38,58,637,442 is 11933558.

Thus, GCF of Fractions is 1/11933558.Finally, GCF of Fractions for 7/38, 20/58, 16/637, 814/442 is 1/11933558.