GCD of 882, 825, 585, 412 Calculator

Given Input numbers are 882, 825, 585, 412

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

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

GCD of numbers is the greatest common divisor

So, the GCD (882, 825, 585, 412) = 1.

Given numbers are 882, 825, 585, 412

The list of prime factors of all numbers are

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 412 are 2 x 2 x 103

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

Given numbers are 882, 825, 585, 412

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

Apply this formula for all numbers.

Step1:

LCM(882, 825) = 242550

GCD(882, 825) = ( 882 x 825 ) / 242550

= 882 / 825

= 882

Step2:

LCM(3, 585) = 585

GCD(3, 585) = ( 3 x 585 ) / 585

= 3 / 585

= 3

Step3:

LCM(3, 412) = 1236

GCD(3, 412) = ( 3 x 412 ) / 1236

= 3 / 412

= 3

So, Greatest Common Divisor of 882, 825, 585, 412 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 106, 747, 783, 109
• GCD of 941, 988, 902, 437
• GCD of 551, 612, 514, 642
• GCD of 993, 626, 510, 490
• GCD of 798, 719, 905, 244

Given numbers are 882, 825, 585, 412
The greatest common divisor of numbers 882, 825, 585, 412 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 825, 585, 412 is 1.

1. What is the GCD of 882, 825, 585, 412?

GCD of given numbers 882, 825, 585, 412 is 1

2. How to calculate the greatest common divisor of 882, 825, 585, 412?

We can find the highest common divisor of 882, 825, 585, 412 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 882, 825, 585, 412 i.e 1.

3. How can I use the GCD of 882, 825, 585, 412Calculator?

Out the numbers 882, 825, 585, 412 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.