GCD of 972, 714, 585, 388 Calculator

Given Input numbers are 972, 714, 585, 388

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 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

GCD of numbers is the greatest common divisor

So, the GCD (972, 714, 585, 388) = 1.

Given numbers are 972, 714, 585, 388

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 714 are 2 x 3 x 7 x 17

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 388 are 2 x 2 x 97

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

Given numbers are 972, 714, 585, 388

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

Apply this formula for all numbers.

Step1:

LCM(972, 714) = 115668

GCD(972, 714) = ( 972 x 714 ) / 115668

= 972 / 714

= 972

Step2:

LCM(6, 585) = 1170

GCD(6, 585) = ( 6 x 585 ) / 1170

= 6 / 585

= 6

Step3:

LCM(3, 388) = 1164

GCD(3, 388) = ( 3 x 388 ) / 1164

= 3 / 388

= 3

So, Greatest Common Divisor of 972, 714, 585, 388 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 683, 703, 931, 497
• GCD of 434, 602, 125, 950
• GCD of 666, 958, 110, 534
• GCD of 602, 830, 993, 638
• GCD of 666, 989, 537, 871

Given numbers are 972, 714, 585, 388
The greatest common divisor of numbers 972, 714, 585, 388 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 714, 585, 388 is 1.

1. What is the GCD of 972, 714, 585, 388?

GCD of given numbers 972, 714, 585, 388 is 1

2. How to calculate the greatest common divisor of 972, 714, 585, 388?

We can find the highest common divisor of 972, 714, 585, 388 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, 714, 585, 388 i.e 1.

3. How can I use the GCD of 972, 714, 585, 388Calculator?

Out the numbers 972, 714, 585, 388 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.