GCD of 900, 178, 987, 204 Calculator

Given Input numbers are 900, 178, 987, 204

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 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

GCD of numbers is the greatest common divisor

So, the GCD (900, 178, 987, 204) = 1.

Given numbers are 900, 178, 987, 204

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 178 are 2 x 89

Prime factors of 987 are 3 x 7 x 47

Prime factors of 204 are 2 x 2 x 3 x 17

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

Given numbers are 900, 178, 987, 204

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

Apply this formula for all numbers.

Step1:

LCM(900, 178) = 80100

GCD(900, 178) = ( 900 x 178 ) / 80100

= 900 / 178

= 900

Step2:

LCM(2, 987) = 1974

GCD(2, 987) = ( 2 x 987 ) / 1974

= 2 / 987

= 2

Step3:

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

= 1 / 204

= 1

So, Greatest Common Divisor of 900, 178, 987, 204 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 728, 876, 241, 967
• GCD of 683, 132, 214, 955
• GCD of 694, 193, 785, 807
• GCD of 735, 423, 777, 864
• GCD of 843, 632, 986, 893

Given numbers are 900, 178, 987, 204
The greatest common divisor of numbers 900, 178, 987, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 178, 987, 204 is 1.

1. What is the GCD of 900, 178, 987, 204?

GCD of given numbers 900, 178, 987, 204 is 1

2. How to calculate the greatest common divisor of 900, 178, 987, 204?

We can find the highest common divisor of 900, 178, 987, 204 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, 178, 987, 204 i.e 1.

3. How can I use the GCD of 900, 178, 987, 204Calculator?

Out the numbers 900, 178, 987, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.