GCD of 972, 400, 603, 284 Calculator

Given Input numbers are 972, 400, 603, 284

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 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 603 :

The positive integer divisors of 603 that completely divides 603 are.

1, 3, 9, 67, 201, 603

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

GCD of numbers is the greatest common divisor

So, the GCD (972, 400, 603, 284) = 1.

Given numbers are 972, 400, 603, 284

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 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 603 are 3 x 3 x 67

Prime factors of 284 are 2 x 2 x 71

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

Given numbers are 972, 400, 603, 284

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

Apply this formula for all numbers.

Step1:

LCM(972, 400) = 97200

GCD(972, 400) = ( 972 x 400 ) / 97200

= 972 / 400

= 972

Step2:

LCM(4, 603) = 2412

GCD(4, 603) = ( 4 x 603 ) / 2412

= 4 / 603

= 4

Step3:

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

= 1 / 284

= 1

So, Greatest Common Divisor of 972, 400, 603, 284 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 293, 694, 857, 208
• GCD of 292, 978, 875, 432
• GCD of 683, 514, 111, 551
• GCD of 636, 936, 172, 279
• GCD of 405, 400, 824, 363

Given numbers are 972, 400, 603, 284
The greatest common divisor of numbers 972, 400, 603, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 400, 603, 284 is 1.

1. What is the GCD of 972, 400, 603, 284?

GCD of given numbers 972, 400, 603, 284 is 1

2. How to calculate the greatest common divisor of 972, 400, 603, 284?

We can find the highest common divisor of 972, 400, 603, 284 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, 400, 603, 284 i.e 1.

3. How can I use the GCD of 972, 400, 603, 284Calculator?

Out the numbers 972, 400, 603, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.