Greatest Common Factor of 34/72, 67/39, 44/52, 16/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/72, 67/39, 44/52, 16/600

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 34/72,67/39,44/52,16/600

Given fractions are 34/72,67/39,44/52,16/600

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 34,67,44,16

Greatest Common Factor of Numerators i.e. GCF of 34,67,44,16 is 1 .

LCM of Denominators means LCM of 72,39,52,600 as per the given fractions.

LCM of 72,39,52,600 is 23400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,67,44,16

GCF of Fractions 34/72,67/39,44/52,16/600 is 1/23400

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

Greatest Common Factor of 34,67,44,16 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,67,44,16 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Greatest Common Factor

We found the factors 34,67,44,16 . The biggest common factor number is the GCF number.
So the greatest common factor 34,67,44,16 is 1.

Lets's calculate LCM of 72,39,52,600

2 72, 39, 52, 600
2 36, 39, 26, 300
2 18, 39, 13, 150
3 9, 39, 13, 75
13 3, 13, 13, 25
3, 1, 1, 25

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 13 x 3 x 1 x 1 x 25 = 23400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23400

Therefore, the GCF of Fractions 34/72,67/39,44/52,16/600 is 1/23400

Least Common Multiple of 72,39,52,600 with GCF Formula

Least Common Multiple of 72,39,52,600 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 72,39,52,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,39,52,600) = 1

common factors(in case of two or more numbers have common factors) = 3744

GCF(72,39,52,600) x common factors =1 x 3744 = 3744

LCM(72,39,52,600) = ( 72 × 39 × 52 × 600 ) / 3744

LCM(72,39,52,600) = 87609600 / 3744

LCM(72,39,52,600) = 23400


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 34/72, 67/39, 44/52, 16/600

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 34/72, 67/39, 44/52, 16/600?

Answer: GCF of Numerators as per given numbers 34/72, 67/39, 44/52, 16/600 is

GCF of Numerators i.e. for 34,67,44,16 is 1

LCM of denominators i.e. for 72,39,52,600 is 23400.

Thus, GCF of Fractions is 1/23400.Finally, GCF of Fractions for 34/72, 67/39, 44/52, 16/600 is 1/23400.