GCD of 972, 837, 358, 450 Calculator

Given Input numbers are 972, 837, 358, 450

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 837 :

The positive integer divisors of 837 that completely divides 837 are.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

GCD of numbers is the greatest common divisor

So, the GCD (972, 837, 358, 450) = 1.

Given numbers are 972, 837, 358, 450

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 837 are 3 x 3 x 3 x 31

Prime factors of 358 are 2 x 179

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

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

Given numbers are 972, 837, 358, 450

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

Apply this formula for all numbers.

Step1:

LCM(972, 837) = 30132

GCD(972, 837) = ( 972 x 837 ) / 30132

= 972 / 837

= 972

Step2:

LCM(27, 358) = 9666

GCD(27, 358) = ( 27 x 358 ) / 9666

= 27 / 358

= 27

Step3:

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

= 1 / 450

= 1

So, Greatest Common Divisor of 972, 837, 358, 450 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 113, 436, 832, 660
• GCD of 599, 528, 272, 268
• GCD of 670, 218, 641, 102
• GCD of 357, 446, 624, 287
• GCD of 113, 961, 565, 328

Given numbers are 972, 837, 358, 450
The greatest common divisor of numbers 972, 837, 358, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 837, 358, 450 is 1.

1. What is the GCD of 972, 837, 358, 450?

GCD of given numbers 972, 837, 358, 450 is 1

2. How to calculate the greatest common divisor of 972, 837, 358, 450?

We can find the highest common divisor of 972, 837, 358, 450 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, 837, 358, 450 i.e 1.

3. How can I use the GCD of 972, 837, 358, 450Calculator?

Out the numbers 972, 837, 358, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.