GCD of 372, 487, 288, 900 Calculator

Given Input numbers are 372, 487, 288, 900

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

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 487 :

The positive integer divisors of 487 that completely divides 487 are.

1, 487

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

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

GCD of numbers is the greatest common divisor

So, the GCD (372, 487, 288, 900) = 1.

Given numbers are 372, 487, 288, 900

The list of prime factors of all numbers are

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 487 are 487

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

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

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

Given numbers are 372, 487, 288, 900

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

Apply this formula for all numbers.

Step1:

LCM(372, 487) = 181164

GCD(372, 487) = ( 372 x 487 ) / 181164

= 372 / 487

= 372

Step2:

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

= 1 / 288

= 1

Step3:

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

= 1 / 900

= 1

So, Greatest Common Divisor of 372, 487, 288, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 512, 367, 951, 210
• GCD of 574, 975, 332, 466
• GCD of 589, 393, 997, 402
• GCD of 883, 214, 361, 291
• GCD of 347, 312, 160, 733

Given numbers are 372, 487, 288, 900
The greatest common divisor of numbers 372, 487, 288, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 372, 487, 288, 900 is 1.

1. What is the GCD of 372, 487, 288, 900?

GCD of given numbers 372, 487, 288, 900 is 1

2. How to calculate the greatest common divisor of 372, 487, 288, 900?

We can find the highest common divisor of 372, 487, 288, 900 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 372, 487, 288, 900 i.e 1.

3. How can I use the GCD of 372, 487, 288, 900Calculator?

Out the numbers 372, 487, 288, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.