GCD of 52, 60, 85, 56 Calculator

Given Input numbers are 52, 60, 85, 56

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

Divisors of 52

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

1, 2, 4, 13, 26, 52

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 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Greatest Common Divisior

We found the divisors of 52, 60, 85, 56 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 60, 85, 56 is 1.

Therefore, GCD of numbers 52, 60, 85, 56 is 1

Given Input Data is 52, 60, 85, 56

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

Prime Factorization of 52 is 2 x 2 x 13

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 56 is 2 x 2 x 2 x 7

The above numbers do not have any common prime factor. So GCD is 1

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(52, 60) = 780

GCD(52, 60) = ( 52 x 60 ) / 780

GCD(52, 60) = 3120 / 780

GCD(52, 60) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 85

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

LCM(4, 85) = 340

GCD(4, 85) = ( 4 x 85 ) / 340

GCD(4, 85) = 340 / 340

GCD(4, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

GCD of 52, 60, 85, 56 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 64, 58, 23
• GCD of 53, 84, 18, 33
• GCD of 75, 55, 27, 52
• GCD of 72, 28, 13, 58
• GCD of 33, 39, 74, 80

1. What is the GCD of 52, 60, 85, 56?

GCD of 52, 60, 85, 56 is 1

2. Where do I get the detailed procedure to find GCD of 52, 60, 85, 56?

You can find a detailed procedure to find GCD of 52, 60, 85, 56 on our page.

3. How to find GCD of 52, 60, 85, 56 on a calculator?

You can find the GCD of 52, 60, 85, 56 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.