GCD of 820, 204, 348, 862 Calculator

Given Input numbers are 820, 204, 348, 862

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

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

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

GCD of numbers is the greatest common divisor

So, the GCD (820, 204, 348, 862) = 2.

Given numbers are 820, 204, 348, 862

The list of prime factors of all numbers are

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

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 862 are 2 x 431

The highest common occurrence is 2¹

Therefore, GCD of 820, 204, 348, 862 is 2.

Given numbers are 820, 204, 348, 862

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

Apply this formula for all numbers.

Step1:

LCM(820, 204) = 41820

GCD(820, 204) = ( 820 x 204 ) / 41820

= 820 / 204

= 820

Step2:

LCM(4, 348) = 348

GCD(4, 348) = ( 4 x 348 ) / 348

= 4 / 348

= 4

Step3:

LCM(4, 862) = 1724

GCD(4, 862) = ( 4 x 862 ) / 1724

= 4 / 862

= 4

So, Greatest Common Divisor of 820, 204, 348, 862 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 707, 506, 556, 928
• GCD of 592, 316, 952, 203
• GCD of 650, 275, 248, 739
• GCD of 557, 419, 873, 220
• GCD of 494, 301, 122, 381

Given numbers are 820, 204, 348, 862
The greatest common divisor of numbers 820, 204, 348, 862 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 204, 348, 862 is 2.

1. What is the GCD of 820, 204, 348, 862?

GCD of given numbers 820, 204, 348, 862 is 2

2. How to calculate the greatest common divisor of 820, 204, 348, 862?

We can find the highest common divisor of 820, 204, 348, 862 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 820, 204, 348, 862 i.e 2.

3. How can I use the GCD of 820, 204, 348, 862Calculator?

Out the numbers 820, 204, 348, 862 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.