GCD of 465, 396, 279, 972 Calculator

Given Input numbers are 465, 396, 279, 972

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

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

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 (465, 396, 279, 972) = 3.

Given numbers are 465, 396, 279, 972

The list of prime factors of all numbers are

Prime factors of 465 are 3 x 5 x 31

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 279 are 3 x 3 x 31

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 465, 396, 279, 972 is 3.

Given numbers are 465, 396, 279, 972

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

Apply this formula for all numbers.

Step1:

LCM(465, 396) = 61380

GCD(465, 396) = ( 465 x 396 ) / 61380

= 465 / 396

= 465

Step2:

LCM(3, 279) = 279

GCD(3, 279) = ( 3 x 279 ) / 279

= 3 / 279

= 3

Step3:

LCM(3, 972) = 972

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

= 3 / 972

= 3

So, Greatest Common Divisor of 465, 396, 279, 972 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 246, 717, 708, 280
• GCD of 136, 809, 977, 936
• GCD of 399, 522, 485, 220
• GCD of 732, 823, 571, 143
• GCD of 739, 452, 227, 455

Given numbers are 465, 396, 279, 972
The greatest common divisor of numbers 465, 396, 279, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 396, 279, 972 is 3.

1. What is the GCD of 465, 396, 279, 972?

GCD of given numbers 465, 396, 279, 972 is 3

2. How to calculate the greatest common divisor of 465, 396, 279, 972?

We can find the highest common divisor of 465, 396, 279, 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 465, 396, 279, 972 i.e 3.

3. How can I use the GCD of 465, 396, 279, 972Calculator?

Out the numbers 465, 396, 279, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.