GCD of 201, 972, 24, 915 Calculator

Given Input numbers are 201, 972, 24, 915

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

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 915

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

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

Greatest Common Divisior

We found the divisors of 201, 972, 24, 915 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 201, 972, 24, 915 is 3.

Therefore, GCD of numbers 201, 972, 24, 915 is 3

Given Input Data is 201, 972, 24, 915

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

Prime Factorization of 201 is 3 x 67

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 915 is 3 x 5 x 61

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(201, 972) = 65124

GCD(201, 972) = ( 201 x 972 ) / 65124

GCD(201, 972) = 195372 / 65124

GCD(201, 972) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 24

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

LCM(3, 24) = 24

GCD(3, 24) = ( 3 x 24 ) / 24

GCD(3, 24) = 72 / 24

GCD(3, 24) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 915

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

LCM(3, 915) = 915

GCD(3, 915) = ( 3 x 915 ) / 915

GCD(3, 915) = 2745 / 915

GCD(3, 915) = 3

GCD of 201, 972, 24, 915 is 3

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1. What is the GCD of 201, 972, 24, 915?

GCD of 201, 972, 24, 915 is 3

2. Where do I get the detailed procedure to find GCD of 201, 972, 24, 915?

You can find a detailed procedure to find GCD of 201, 972, 24, 915 on our page.

3. How to find GCD of 201, 972, 24, 915 on a calculator?

You can find the GCD of 201, 972, 24, 915 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.