GCD of 972, 201, 533, 315 Calculator

Given Input numbers are 972, 201, 533, 315

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 533 :

The positive integer divisors of 533 that completely divides 533 are.

1, 13, 41, 533

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

GCD of numbers is the greatest common divisor

So, the GCD (972, 201, 533, 315) = 1.

Given numbers are 972, 201, 533, 315

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 533 are 13 x 41

Prime factors of 315 are 3 x 3 x 5 x 7

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

Given numbers are 972, 201, 533, 315

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, 533) = 1599

GCD(3, 533) = ( 3 x 533 ) / 1599

= 3 / 533

= 3

Step3:

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

= 1 / 315

= 1

So, Greatest Common Divisor of 972, 201, 533, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 987, 484, 104, 252
• GCD of 989, 367, 400, 292
• GCD of 441, 161, 466, 273
• GCD of 682, 874, 328, 548
• GCD of 645, 278, 276, 257

Given numbers are 972, 201, 533, 315
The greatest common divisor of numbers 972, 201, 533, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 201, 533, 315 is 1.

1. What is the GCD of 972, 201, 533, 315?

GCD of given numbers 972, 201, 533, 315 is 1

2. How to calculate the greatest common divisor of 972, 201, 533, 315?

We can find the highest common divisor of 972, 201, 533, 315 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, 533, 315 i.e 1.

3. How can I use the GCD of 972, 201, 533, 315Calculator?

Out the numbers 972, 201, 533, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.