GCD of 537, 915, 20, 153 Calculator

Given Input numbers are 537, 915, 20, 153

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

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 537, 915, 20, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 915, 20, 153 is 1.

Therefore, GCD of numbers 537, 915, 20, 153 is 1

Given Input Data is 537, 915, 20, 153

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

Prime Factorization of 537 is 3 x 179

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 153 is 3 x 3 x 17

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(537, 915) = 163785

GCD(537, 915) = ( 537 x 915 ) / 163785

GCD(537, 915) = 491355 / 163785

GCD(537, 915) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 20

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

LCM(3, 20) = 60

GCD(3, 20) = ( 3 x 20 ) / 60

GCD(3, 20) = 60 / 60

GCD(3, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 153

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

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

GCD(1, 153) = 153 / 153

GCD(1, 153) = 1

GCD of 537, 915, 20, 153 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 614, 267, 11, 390
• GCD of 648, 508, 30, 850
• GCD of 197, 931, 51, 206
• GCD of 338, 861, 35, 494
• GCD of 148, 218, 66, 154

1. What is the GCD of 537, 915, 20, 153?

GCD of 537, 915, 20, 153 is 1

2. Where do I get the detailed procedure to find GCD of 537, 915, 20, 153?

You can find a detailed procedure to find GCD of 537, 915, 20, 153 on our page.

3. How to find GCD of 537, 915, 20, 153 on a calculator?

You can find the GCD of 537, 915, 20, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.