Greatest Common Factor of 30/71, 66/63, 68/84, 89/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/71, 66/63, 68/84, 89/135

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 30/71,66/63,68/84,89/135

Given fractions are 30/71,66/63,68/84,89/135

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 30,66,68,89

Greatest Common Factor of Numerators i.e. GCF of 30,66,68,89 is 1 .

LCM of Denominators means LCM of 71,63,84,135 as per the given fractions.

LCM of 71,63,84,135 is 268380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,66,68,89

GCF of Fractions 30/71,66/63,68/84,89/135 is 1/268380

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

Greatest Common Factor of 30,66,68,89 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,66,68,89 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Greatest Common Factor

We found the factors 30,66,68,89 . The biggest common factor number is the GCF number.
So the greatest common factor 30,66,68,89 is 1.

Lets's calculate LCM of 71,63,84,135

3 71, 63, 84, 135
3 71, 21, 28, 45
7 71, 7, 28, 15
71, 1, 4, 15

∴ So the LCM of the given numbers is 3 x 3 x 7 x 71 x 1 x 4 x 15 = 268380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/268380

Therefore, the GCF of Fractions 30/71,66/63,68/84,89/135 is 1/268380

Least Common Multiple of 71,63,84,135 with GCF Formula

Least Common Multiple of 71,63,84,135 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 71,63,84,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,63,84,135) = 1

common factors(in case of two or more numbers have common factors) = 189

GCF(71,63,84,135) x common factors =1 x 189 = 189

LCM(71,63,84,135) = ( 71 × 63 × 84 × 135 ) / 189

LCM(71,63,84,135) = 50723820 / 189

LCM(71,63,84,135) = 268380


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 30/71, 66/63, 68/84, 89/135

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 30/71, 66/63, 68/84, 89/135?

Answer: GCF of Numerators as per given numbers 30/71, 66/63, 68/84, 89/135 is

GCF of Numerators i.e. for 30,66,68,89 is 1

LCM of denominators i.e. for 71,63,84,135 is 268380.

Thus, GCF of Fractions is 1/268380.Finally, GCF of Fractions for 30/71, 66/63, 68/84, 89/135 is 1/268380.