Greatest Common Factor of 18/84, 82/70, 37/74, 70/12

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 18/84, 82/70, 37/74, 70/12

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 18/84,82/70,37/74,70/12

Given fractions are 18/84,82/70,37/74,70/12

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 18,82,37,70

Greatest Common Factor of Numerators i.e. GCF of 18,82,37,70 is 1 .

LCM of Denominators means LCM of 84,70,74,12 as per the given fractions.

LCM of 84,70,74,12 is 15540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 18,82,37,70

GCF of Fractions 18/84,82/70,37/74,70/12 is 1/15540

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

Greatest Common Factor of 18,82,37,70 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,82,37,70 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Greatest Common Factor

We found the factors 18,82,37,70 . The biggest common factor number is the GCF number.
So the greatest common factor 18,82,37,70 is 1.

Lets's calculate LCM of 84,70,74,12

2 84, 70, 74, 12
2 42, 35, 37, 6
3 21, 35, 37, 3
7 7, 35, 37, 1
1, 5, 37, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 5 x 37 x 1 = 15540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15540

Therefore, the GCF of Fractions 18/84,82/70,37/74,70/12 is 1/15540

Least Common Multiple of 84,70,74,12 with GCF Formula

Least Common Multiple of 84,70,74,12 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 84,70,74,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,70,74,12) = 2

common factors(in case of two or more numbers have common factors) = 168

GCF(84,70,74,12) x common factors =2 x 168 = 336

LCM(84,70,74,12) = ( 84 × 70 × 74 × 12 ) / 336

LCM(84,70,74,12) = 5221440 / 336

LCM(84,70,74,12) = 15540


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 18/84, 82/70, 37/74, 70/12

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 18/84, 82/70, 37/74, 70/12?

Answer: GCF of Numerators as per given numbers 18/84, 82/70, 37/74, 70/12 is

GCF of Numerators i.e. for 18,82,37,70 is 1

LCM of denominators i.e. for 84,70,74,12 is 15540.

Thus, GCF of Fractions is 1/15540.Finally, GCF of Fractions for 18/84, 82/70, 37/74, 70/12 is 1/15540.