GCD of 60, 72, 68, 52 Calculator

Given Input numbers are 60, 72, 68, 52

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 72

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

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

Divisors of 68

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

1, 2, 4, 17, 34, 68

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Greatest Common Divisior

We found the divisors of 60, 72, 68, 52 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 72, 68, 52 is 4.

Therefore, GCD of numbers 60, 72, 68, 52 is 4

Given Input Data is 60, 72, 68, 52

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 52 is 2 x 2 x 13

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(60, 72) = 360

GCD(60, 72) = ( 60 x 72 ) / 360

GCD(60, 72) = 4320 / 360

GCD(60, 72) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 68

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(12, 68) = 204

GCD(12, 68) = ( 12 x 68 ) / 204

GCD(12, 68) = 816 / 204

GCD(12, 68) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 52

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 52) = 52

GCD(4, 52) = ( 4 x 52 ) / 52

GCD(4, 52) = 208 / 52

GCD(4, 52) = 4

GCD of 60, 72, 68, 52 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 79, 14, 45, 93
• GCD of 71, 78, 10, 34
• GCD of 68, 37, 97, 94
• GCD of 68, 70, 12, 41
• GCD of 49, 77, 94, 36

1. What is the GCD of 60, 72, 68, 52?

GCD of 60, 72, 68, 52 is 4

2. Where do I get the detailed procedure to find GCD of 60, 72, 68, 52?

You can find a detailed procedure to find GCD of 60, 72, 68, 52 on our page.

3. How to find GCD of 60, 72, 68, 52 on a calculator?

You can find the GCD of 60, 72, 68, 52 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.