GCD of 828, 404, 820 Calculator

Given Input numbers are 828, 404, 820

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

GCD of numbers is the greatest common divisor

So, the GCD (828, 404, 820) = 4.

Given numbers are 828, 404, 820

The list of prime factors of all numbers are

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 404 are 2 x 2 x 101

Prime factors of 820 are 2 x 2 x 5 x 41

The highest common occurrence is 2²

Therefore, GCD of 828, 404, 820 is 4.

Given numbers are 828, 404, 820

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

Apply this formula for all numbers.

Step1:

LCM(828, 404) = 83628

GCD(828, 404) = ( 828 x 404 ) / 83628

= 828 / 404

= 828

Step2:

LCM(4, 820) = 820

GCD(4, 820) = ( 4 x 820 ) / 820

= 4 / 820

= 4

So, Greatest Common Divisor of 828, 404, 820 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 434, 812, 135
• GCD of 406, 471, 625
• GCD of 200, 212, 635
• GCD of 710, 924, 664
• GCD of 364, 416, 483

Given numbers are 828, 404, 820
The greatest common divisor of numbers 828, 404, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 404, 820 is 4.

1. What is the GCD of 828, 404, 820?

GCD of given numbers 828, 404, 820 is 4

2. How to calculate the greatest common divisor of 828, 404, 820?

We can find the highest common divisor of 828, 404, 820 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 828, 404, 820 i.e 4.

3. How can I use the GCD of 828, 404, 820Calculator?

Out the numbers 828, 404, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.