Greatest Common Factor of 81/76, 42/30, 38/89, 36/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 81/76, 42/30, 38/89, 36/632

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 81/76,42/30,38/89,36/632

Given fractions are 81/76,42/30,38/89,36/632

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 81,42,38,36

Greatest Common Factor of Numerators i.e. GCF of 81,42,38,36 is 1 .

LCM of Denominators means LCM of 76,30,89,632 as per the given fractions.

LCM of 76,30,89,632 is 16030680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 81,42,38,36

GCF of Fractions 81/76,42/30,38/89,36/632 is 1/16030680

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

Greatest Common Factor of 81,42,38,36 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,42,38,36 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 42

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

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

Factors of 38

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

1,2,19,38

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Greatest Common Factor

We found the factors 81,42,38,36 . The biggest common factor number is the GCF number.
So the greatest common factor 81,42,38,36 is 1.

Lets's calculate LCM of 76,30,89,632

2 76, 30, 89, 632
2 38, 15, 89, 316
19, 15, 89, 158

∴ So the LCM of the given numbers is 2 x 2 x 19 x 15 x 89 x 158 = 16030680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16030680

Therefore, the GCF of Fractions 81/76,42/30,38/89,36/632 is 1/16030680

Least Common Multiple of 76,30,89,632 with GCF Formula

Least Common Multiple of 76,30,89,632 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 76,30,89,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,30,89,632) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(76,30,89,632) x common factors =1 x 8 = 8

LCM(76,30,89,632) = ( 76 × 30 × 89 × 632 ) / 8

LCM(76,30,89,632) = 128245440 / 8

LCM(76,30,89,632) = 16030680


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 81/76, 42/30, 38/89, 36/632

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 81/76, 42/30, 38/89, 36/632?

Answer: GCF of Numerators as per given numbers 81/76, 42/30, 38/89, 36/632 is

GCF of Numerators i.e. for 81,42,38,36 is 1

LCM of denominators i.e. for 76,30,89,632 is 16030680.

Thus, GCF of Fractions is 1/16030680.Finally, GCF of Fractions for 81/76, 42/30, 38/89, 36/632 is 1/16030680.