GCD of 912, 108, 435, 821 Calculator

Given Input numbers are 912, 108, 435, 821

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

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

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 (912, 108, 435, 821) = 1.

Given numbers are 912, 108, 435, 821

The list of prime factors of all numbers are

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 435 are 3 x 5 x 29

Prime factors of 821 are 821

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

Given numbers are 912, 108, 435, 821

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

Apply this formula for all numbers.

Step1:

LCM(912, 108) = 8208

GCD(912, 108) = ( 912 x 108 ) / 8208

= 912 / 108

= 912

Step2:

LCM(12, 435) = 1740

GCD(12, 435) = ( 12 x 435 ) / 1740

= 12 / 435

= 12

Step3:

LCM(3, 821) = 2463

GCD(3, 821) = ( 3 x 821 ) / 2463

= 3 / 821

= 3

So, Greatest Common Divisor of 912, 108, 435, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 396, 721, 470, 534
• GCD of 768, 199, 711, 634
• GCD of 143, 885, 258, 572
• GCD of 878, 819, 412, 502
• GCD of 750, 932, 759, 658

Given numbers are 912, 108, 435, 821
The greatest common divisor of numbers 912, 108, 435, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 912, 108, 435, 821 is 1.

1. What is the GCD of 912, 108, 435, 821?

GCD of given numbers 912, 108, 435, 821 is 1

2. How to calculate the greatest common divisor of 912, 108, 435, 821?

We can find the highest common divisor of 912, 108, 435, 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 912, 108, 435, 821 i.e 1.

3. How can I use the GCD of 912, 108, 435, 821Calculator?

Out the numbers 912, 108, 435, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.