GCD of 456, 867, 972, 717 Calculator

Given Input numbers are 456, 867, 972, 717

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

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 717 :

The positive integer divisors of 717 that completely divides 717 are.

1, 3, 239, 717

GCD of numbers is the greatest common divisor

So, the GCD (456, 867, 972, 717) = 3.

Given numbers are 456, 867, 972, 717

The list of prime factors of all numbers are

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 867 are 3 x 17 x 17

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

Prime factors of 717 are 3 x 239

The highest common occurrence is 3¹

Therefore, GCD of 456, 867, 972, 717 is 3.

Given numbers are 456, 867, 972, 717

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

Apply this formula for all numbers.

Step1:

LCM(456, 867) = 131784

GCD(456, 867) = ( 456 x 867 ) / 131784

= 456 / 867

= 456

Step2:

LCM(3, 972) = 972

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

= 3 / 972

= 3

Step3:

LCM(3, 717) = 717

GCD(3, 717) = ( 3 x 717 ) / 717

= 3 / 717

= 3

So, Greatest Common Divisor of 456, 867, 972, 717 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 109, 600, 645, 475
• GCD of 406, 553, 562, 221
• GCD of 961, 177, 969, 490
• GCD of 176, 384, 568, 131
• GCD of 347, 381, 992, 907

Given numbers are 456, 867, 972, 717
The greatest common divisor of numbers 456, 867, 972, 717 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 867, 972, 717 is 3.

1. What is the GCD of 456, 867, 972, 717?

GCD of given numbers 456, 867, 972, 717 is 3

2. How to calculate the greatest common divisor of 456, 867, 972, 717?

We can find the highest common divisor of 456, 867, 972, 717 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 456, 867, 972, 717 i.e 3.

3. How can I use the GCD of 456, 867, 972, 717Calculator?

Out the numbers 456, 867, 972, 717 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.