Greatest Common Factor of 84/30, 25/69, 25/33, 72/161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/30, 25/69, 25/33, 72/161

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 84/30,25/69,25/33,72/161

Given fractions are 84/30,25/69,25/33,72/161

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 84,25,25,72

Greatest Common Factor of Numerators i.e. GCF of 84,25,25,72 is 1 .

LCM of Denominators means LCM of 30,69,33,161 as per the given fractions.

LCM of 30,69,33,161 is 53130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,25,25,72

GCF of Fractions 84/30,25/69,25/33,72/161 is 1/53130

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

Greatest Common Factor of 84,25,25,72 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,25,25,72 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Greatest Common Factor

We found the factors 84,25,25,72 . The biggest common factor number is the GCF number.
So the greatest common factor 84,25,25,72 is 1.

Lets's calculate LCM of 30,69,33,161

3 30, 69, 33, 161
23 10, 23, 11, 161
10, 1, 11, 7

∴ So the LCM of the given numbers is 3 x 23 x 10 x 1 x 11 x 7 = 53130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53130

Therefore, the GCF of Fractions 84/30,25/69,25/33,72/161 is 1/53130

Least Common Multiple of 30,69,33,161 with GCF Formula

Least Common Multiple of 30,69,33,161 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 30,69,33,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,69,33,161) = 1

common factors(in case of two or more numbers have common factors) = 207

GCF(30,69,33,161) x common factors =1 x 207 = 207

LCM(30,69,33,161) = ( 30 × 69 × 33 × 161 ) / 207

LCM(30,69,33,161) = 10997910 / 207

LCM(30,69,33,161) = 53130


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 84/30, 25/69, 25/33, 72/161

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 84/30, 25/69, 25/33, 72/161?

Answer: GCF of Numerators as per given numbers 84/30, 25/69, 25/33, 72/161 is

GCF of Numerators i.e. for 84,25,25,72 is 1

LCM of denominators i.e. for 30,69,33,161 is 53130.

Thus, GCF of Fractions is 1/53130.Finally, GCF of Fractions for 84/30, 25/69, 25/33, 72/161 is 1/53130.