GCD of 808, 580, 824, 252 Calculator

Given Input numbers are 808, 580, 824, 252

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

Divisors of 808 :

The positive integer divisors of 808 that completely divides 808 are.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

GCD of numbers is the greatest common divisor

So, the GCD (808, 580, 824, 252) = 4.

Given numbers are 808, 580, 824, 252

The list of prime factors of all numbers are

Prime factors of 808 are 2 x 2 x 2 x 101

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2²

Therefore, GCD of 808, 580, 824, 252 is 4.

Given numbers are 808, 580, 824, 252

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

Apply this formula for all numbers.

Step1:

LCM(808, 580) = 117160

GCD(808, 580) = ( 808 x 580 ) / 117160

= 808 / 580

= 808

Step2:

LCM(4, 824) = 824

GCD(4, 824) = ( 4 x 824 ) / 824

= 4 / 824

= 4

Step3:

LCM(4, 252) = 252

GCD(4, 252) = ( 4 x 252 ) / 252

= 4 / 252

= 4

So, Greatest Common Divisor of 808, 580, 824, 252 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 482, 741, 499, 210
• GCD of 511, 232, 634, 329
• GCD of 932, 992, 283, 276
• GCD of 735, 829, 845, 523
• GCD of 801, 888, 167, 276

Given numbers are 808, 580, 824, 252
The greatest common divisor of numbers 808, 580, 824, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 808, 580, 824, 252 is 4.

1. What is the GCD of 808, 580, 824, 252?

GCD of given numbers 808, 580, 824, 252 is 4

2. How to calculate the greatest common divisor of 808, 580, 824, 252?

We can find the highest common divisor of 808, 580, 824, 252 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 808, 580, 824, 252 i.e 4.

3. How can I use the GCD of 808, 580, 824, 252Calculator?

Out the numbers 808, 580, 824, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.