GCD of 900, 515, 189, 396 Calculator

Given Input numbers are 900, 515, 189, 396

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 515 :

The positive integer divisors of 515 that completely divides 515 are.

1, 5, 103, 515

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

GCD of numbers is the greatest common divisor

So, the GCD (900, 515, 189, 396) = 1.

Given numbers are 900, 515, 189, 396

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 515 are 5 x 103

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

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

Given numbers are 900, 515, 189, 396

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

Apply this formula for all numbers.

Step1:

LCM(900, 515) = 92700

GCD(900, 515) = ( 900 x 515 ) / 92700

= 900 / 515

= 900

Step2:

LCM(5, 189) = 945

GCD(5, 189) = ( 5 x 189 ) / 945

= 5 / 189

= 5

Step3:

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

= 1 / 396

= 1

So, Greatest Common Divisor of 900, 515, 189, 396 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 278, 286, 775, 309
• GCD of 391, 550, 640, 970
• GCD of 139, 262, 781, 804
• GCD of 145, 735, 904, 607
• GCD of 407, 166, 638, 800

Given numbers are 900, 515, 189, 396
The greatest common divisor of numbers 900, 515, 189, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 515, 189, 396 is 1.

1. What is the GCD of 900, 515, 189, 396?

GCD of given numbers 900, 515, 189, 396 is 1

2. How to calculate the greatest common divisor of 900, 515, 189, 396?

We can find the highest common divisor of 900, 515, 189, 396 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 900, 515, 189, 396 i.e 1.

3. How can I use the GCD of 900, 515, 189, 396Calculator?

Out the numbers 900, 515, 189, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.