GCD of 162, 255, 417, 972 Calculator

Given Input numbers are 162, 255, 417, 972

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

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 255 :

The positive integer divisors of 255 that completely divides 255 are.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 417 :

The positive integer divisors of 417 that completely divides 417 are.

1, 3, 139, 417

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

GCD of numbers is the greatest common divisor

So, the GCD (162, 255, 417, 972) = 3.

Given numbers are 162, 255, 417, 972

The list of prime factors of all numbers are

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 255 are 3 x 5 x 17

Prime factors of 417 are 3 x 139

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

The highest common occurrence is 3¹

Therefore, GCD of 162, 255, 417, 972 is 3.

Given numbers are 162, 255, 417, 972

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

Apply this formula for all numbers.

Step1:

LCM(162, 255) = 13770

GCD(162, 255) = ( 162 x 255 ) / 13770

= 162 / 255

= 162

Step2:

LCM(3, 417) = 417

GCD(3, 417) = ( 3 x 417 ) / 417

= 3 / 417

= 3

Step3:

LCM(3, 972) = 972

GCD(3, 972) = ( 3 x 972 ) / 972

= 3 / 972

= 3

So, Greatest Common Divisor of 162, 255, 417, 972 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 374, 453, 805, 638
• GCD of 582, 915, 706, 648
• GCD of 721, 327, 946, 224
• GCD of 797, 503, 800, 463
• GCD of 113, 861, 563, 138

Given numbers are 162, 255, 417, 972
The greatest common divisor of numbers 162, 255, 417, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 162, 255, 417, 972 is 3.

1. What is the GCD of 162, 255, 417, 972?

GCD of given numbers 162, 255, 417, 972 is 3

2. How to calculate the greatest common divisor of 162, 255, 417, 972?

We can find the highest common divisor of 162, 255, 417, 972 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 162, 255, 417, 972 i.e 3.

3. How can I use the GCD of 162, 255, 417, 972Calculator?

Out the numbers 162, 255, 417, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.