GCD of 972, 201, 453 Calculator

Given Input numbers are 972, 201, 453

In the factoring method, we have to find the divisors of all numbers

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

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

Divisors of 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

Divisors of 453 :

The positive integer divisors of 453 that completely divides 453 are.

1, 3, 151, 453

GCD of numbers is the greatest common divisor

So, the GCD (972, 201, 453) = 3.

Given numbers are 972, 201, 453

The list of prime factors of all numbers are

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 201 are 3 x 67

Prime factors of 453 are 3 x 151

The highest common occurrence is 3¹

Therefore, GCD of 972, 201, 453 is 3.

Given numbers are 972, 201, 453

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(972, 201) = 65124

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

= 972 / 201

= 972

Step2:

LCM(3, 453) = 453

GCD(3, 453) = ( 3 x 453 ) / 453

= 3 / 453

= 3

So, Greatest Common Divisor of 972, 201, 453 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 831, 962, 918
• GCD of 835, 941, 730
• GCD of 462, 358, 979
• GCD of 752, 523, 202
• GCD of 857, 750, 399

Given numbers are 972, 201, 453
The greatest common divisor of numbers 972, 201, 453 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 201, 453 is 3.

1. What is the GCD of 972, 201, 453?

GCD of given numbers 972, 201, 453 is 3

2. How to calculate the greatest common divisor of 972, 201, 453?

We can find the highest common divisor of 972, 201, 453 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 972, 201, 453 i.e 3.

3. How can I use the GCD of 972, 201, 453Calculator?

Out the numbers 972, 201, 453 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.