Greatest Common Factor of 40/84, 38/93, 14/64, 42/74

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 40/84, 38/93, 14/64, 42/74

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 40/84,38/93,14/64,42/74

Given fractions are 40/84,38/93,14/64,42/74

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 40,38,14,42

Greatest Common Factor of Numerators i.e. GCF of 40,38,14,42 is 2 .

LCM of Denominators means LCM of 84,93,64,74 as per the given fractions.

LCM of 84,93,64,74 is 1541568 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 40,38,14,42

GCF of Fractions 40/84,38/93,14/64,42/74 is 2/1541568

2 40, 38, 14, 42
20, 19, 7, 21

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 40,38,14,42 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,38,14,42 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Greatest Common Factor

We found the factors 40,38,14,42 . The biggest common factor number is the GCF number.
So the greatest common factor 40,38,14,42 is 2.

Lets's calculate LCM of 84,93,64,74

2 84, 93, 64, 74
2 42, 93, 32, 37
3 21, 93, 16, 37
7, 31, 16, 37

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 31 x 16 x 37 = 1541568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1541568

Therefore, the GCF of Fractions 40/84,38/93,14/64,42/74 is 2/1541568

Least Common Multiple of 84,93,64,74 with GCF Formula

Least Common Multiple of 84,93,64,74 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 84,93,64,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,93,64,74) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(84,93,64,74) x common factors =1 x 24 = 24

LCM(84,93,64,74) = ( 84 × 93 × 64 × 74 ) / 24

LCM(84,93,64,74) = 36997632 / 24

LCM(84,93,64,74) = 1541568


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 40/84, 38/93, 14/64, 42/74

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 40/84, 38/93, 14/64, 42/74?

Answer: GCF of Numerators as per given numbers 40/84, 38/93, 14/64, 42/74 is

GCF of Numerators i.e. for 40,38,14,42 is 2

LCM of denominators i.e. for 84,93,64,74 is 1541568.

Thus, GCF of Fractions is 2/1541568.Finally, GCF of Fractions for 40/84, 38/93, 14/64, 42/74 is 2/1541568.