GCD of 900, 132, 436, 821 Calculator

Given Input numbers are 900, 132, 436, 821

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 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 436 :

The positive integer divisors of 436 that completely divides 436 are.

1, 2, 4, 109, 218, 436

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

GCD of numbers is the greatest common divisor

So, the GCD (900, 132, 436, 821) = 1.

Given numbers are 900, 132, 436, 821

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 132 are 2 x 2 x 3 x 11

Prime factors of 436 are 2 x 2 x 109

Prime factors of 821 are 821

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

Given numbers are 900, 132, 436, 821

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

Apply this formula for all numbers.

Step1:

LCM(900, 132) = 9900

GCD(900, 132) = ( 900 x 132 ) / 9900

= 900 / 132

= 900

Step2:

LCM(12, 436) = 1308

GCD(12, 436) = ( 12 x 436 ) / 1308

= 12 / 436

= 12

Step3:

LCM(4, 821) = 3284

GCD(4, 821) = ( 4 x 821 ) / 3284

= 4 / 821

= 4

So, Greatest Common Divisor of 900, 132, 436, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 297, 166, 421, 457
• GCD of 382, 296, 198, 853
• GCD of 420, 305, 707, 894
• GCD of 770, 148, 381, 284
• GCD of 896, 408, 795, 184

Given numbers are 900, 132, 436, 821
The greatest common divisor of numbers 900, 132, 436, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 132, 436, 821 is 1.

1. What is the GCD of 900, 132, 436, 821?

GCD of given numbers 900, 132, 436, 821 is 1

2. How to calculate the greatest common divisor of 900, 132, 436, 821?

We can find the highest common divisor of 900, 132, 436, 821 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, 132, 436, 821 i.e 1.

3. How can I use the GCD of 900, 132, 436, 821Calculator?

Out the numbers 900, 132, 436, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.