GCD of 972, 192, 538, 395 Calculator

Given Input numbers are 972, 192, 538, 395

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 192 :

The positive integer divisors of 192 that completely divides 192 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 395 :

The positive integer divisors of 395 that completely divides 395 are.

1, 5, 79, 395

GCD of numbers is the greatest common divisor

So, the GCD (972, 192, 538, 395) = 1.

Given numbers are 972, 192, 538, 395

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 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 538 are 2 x 269

Prime factors of 395 are 5 x 79

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

Given numbers are 972, 192, 538, 395

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

Apply this formula for all numbers.

Step1:

LCM(972, 192) = 15552

GCD(972, 192) = ( 972 x 192 ) / 15552

= 972 / 192

= 972

Step2:

LCM(12, 538) = 3228

GCD(12, 538) = ( 12 x 538 ) / 3228

= 12 / 538

= 12

Step3:

LCM(2, 395) = 790

GCD(2, 395) = ( 2 x 395 ) / 790

= 2 / 395

= 2

So, Greatest Common Divisor of 972, 192, 538, 395 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 993, 390, 306, 616
• GCD of 686, 451, 134, 782
• GCD of 101, 933, 589, 953
• GCD of 820, 260, 311, 316
• GCD of 630, 123, 374, 380

Given numbers are 972, 192, 538, 395
The greatest common divisor of numbers 972, 192, 538, 395 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 192, 538, 395 is 1.

1. What is the GCD of 972, 192, 538, 395?

GCD of given numbers 972, 192, 538, 395 is 1

2. How to calculate the greatest common divisor of 972, 192, 538, 395?

We can find the highest common divisor of 972, 192, 538, 395 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, 192, 538, 395 i.e 1.

3. How can I use the GCD of 972, 192, 538, 395Calculator?

Out the numbers 972, 192, 538, 395 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.