GCD of 989, 972, 768, 596 Calculator

Given Input numbers are 989, 972, 768, 596

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

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

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 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

GCD of numbers is the greatest common divisor

So, the GCD (989, 972, 768, 596) = 1.

Given numbers are 989, 972, 768, 596

The list of prime factors of all numbers are

Prime factors of 989 are 23 x 43

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

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 596 are 2 x 2 x 149

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

Given numbers are 989, 972, 768, 596

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

Apply this formula for all numbers.

Step1:

LCM(989, 972) = 961308

GCD(989, 972) = ( 989 x 972 ) / 961308

= 989 / 972

= 989

Step2:

LCM(1, 768) = 768

GCD(1, 768) = ( 1 x 768 ) / 768

= 1 / 768

= 1

Step3:

LCM(1, 596) = 596

GCD(1, 596) = ( 1 x 596 ) / 596

= 1 / 596

= 1

So, Greatest Common Divisor of 989, 972, 768, 596 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 225, 123, 472, 434
• GCD of 392, 206, 405, 489
• GCD of 531, 932, 379, 536
• GCD of 765, 556, 373, 857
• GCD of 165, 177, 450, 398

Given numbers are 989, 972, 768, 596
The greatest common divisor of numbers 989, 972, 768, 596 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 989, 972, 768, 596 is 1.

1. What is the GCD of 989, 972, 768, 596?

GCD of given numbers 989, 972, 768, 596 is 1

2. How to calculate the greatest common divisor of 989, 972, 768, 596?

We can find the highest common divisor of 989, 972, 768, 596 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 989, 972, 768, 596 i.e 1.

3. How can I use the GCD of 989, 972, 768, 596Calculator?

Out the numbers 989, 972, 768, 596 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.