GCD of 900, 372, 284, 756 Calculator

Given Input numbers are 900, 372, 284, 756

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 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 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

GCD of numbers is the greatest common divisor

So, the GCD (900, 372, 284, 756) = 4.

Given numbers are 900, 372, 284, 756

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 372 are 2 x 2 x 3 x 31

Prime factors of 284 are 2 x 2 x 71

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

The highest common occurrence is 2²

Therefore, GCD of 900, 372, 284, 756 is 4.

Given numbers are 900, 372, 284, 756

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

Apply this formula for all numbers.

Step1:

LCM(900, 372) = 27900

GCD(900, 372) = ( 900 x 372 ) / 27900

= 900 / 372

= 900

Step2:

LCM(12, 284) = 852

GCD(12, 284) = ( 12 x 284 ) / 852

= 12 / 284

= 12

Step3:

LCM(4, 756) = 756

GCD(4, 756) = ( 4 x 756 ) / 756

= 4 / 756

= 4

So, Greatest Common Divisor of 900, 372, 284, 756 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 680, 412, 979, 870
• GCD of 826, 742, 915, 288
• GCD of 329, 682, 526, 982
• GCD of 862, 286, 352, 815
• GCD of 841, 418, 131, 331

Given numbers are 900, 372, 284, 756
The greatest common divisor of numbers 900, 372, 284, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 372, 284, 756 is 4.

1. What is the GCD of 900, 372, 284, 756?

GCD of given numbers 900, 372, 284, 756 is 4

2. How to calculate the greatest common divisor of 900, 372, 284, 756?

We can find the highest common divisor of 900, 372, 284, 756 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, 372, 284, 756 i.e 4.

3. How can I use the GCD of 900, 372, 284, 756Calculator?

Out the numbers 900, 372, 284, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.