GCD of 972, 717, 870, 369 Calculator

Given Input numbers are 972, 717, 870, 369

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 717 :

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

1, 3, 239, 717

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

GCD of numbers is the greatest common divisor

So, the GCD (972, 717, 870, 369) = 3.

Given numbers are 972, 717, 870, 369

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 717 are 3 x 239

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 369 are 3 x 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 972, 717, 870, 369 is 3.

Given numbers are 972, 717, 870, 369

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

Apply this formula for all numbers.

Step1:

LCM(972, 717) = 232308

GCD(972, 717) = ( 972 x 717 ) / 232308

= 972 / 717

= 972

Step2:

LCM(3, 870) = 870

GCD(3, 870) = ( 3 x 870 ) / 870

= 3 / 870

= 3

Step3:

LCM(3, 369) = 369

GCD(3, 369) = ( 3 x 369 ) / 369

= 3 / 369

= 3

So, Greatest Common Divisor of 972, 717, 870, 369 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 756, 375, 225, 848
• GCD of 351, 679, 864, 997
• GCD of 873, 530, 184, 989
• GCD of 124, 251, 227, 225
• GCD of 648, 908, 674, 181

Given numbers are 972, 717, 870, 369
The greatest common divisor of numbers 972, 717, 870, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 717, 870, 369 is 3.

1. What is the GCD of 972, 717, 870, 369?

GCD of given numbers 972, 717, 870, 369 is 3

2. How to calculate the greatest common divisor of 972, 717, 870, 369?

We can find the highest common divisor of 972, 717, 870, 369 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, 717, 870, 369 i.e 3.

3. How can I use the GCD of 972, 717, 870, 369Calculator?

Out the numbers 972, 717, 870, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.