GCD of 900, 809, 987, 732 Calculator

Given Input numbers are 900, 809, 987, 732

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 809 :

The positive integer divisors of 809 that completely divides 809 are.

1, 809

Divisors of 987 :

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

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

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

GCD of numbers is the greatest common divisor

So, the GCD (900, 809, 987, 732) = 1.

Given numbers are 900, 809, 987, 732

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 809 are 809

Prime factors of 987 are 3 x 7 x 47

Prime factors of 732 are 2 x 2 x 3 x 61

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

Given numbers are 900, 809, 987, 732

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

Apply this formula for all numbers.

Step1:

LCM(900, 809) = 728100

GCD(900, 809) = ( 900 x 809 ) / 728100

= 900 / 809

= 900

Step2:

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

= 1 / 987

= 1

Step3:

LCM(1, 732) = 732

GCD(1, 732) = ( 1 x 732 ) / 732

= 1 / 732

= 1

So, Greatest Common Divisor of 900, 809, 987, 732 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 765, 489, 720
• GCD of 307, 366, 419, 603
• GCD of 866, 734, 100, 898
• GCD of 651, 360, 371, 844
• GCD of 279, 866, 772, 490

Given numbers are 900, 809, 987, 732
The greatest common divisor of numbers 900, 809, 987, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 809, 987, 732 is 1.

1. What is the GCD of 900, 809, 987, 732?

GCD of given numbers 900, 809, 987, 732 is 1

2. How to calculate the greatest common divisor of 900, 809, 987, 732?

We can find the highest common divisor of 900, 809, 987, 732 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, 809, 987, 732 i.e 1.

3. How can I use the GCD of 900, 809, 987, 732Calculator?

Out the numbers 900, 809, 987, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.