GCD of 862, 208, 820 Calculator

Given Input numbers are 862, 208, 820

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

Divisors of 862 :

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

1, 2, 431, 862

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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 (862, 208, 820) = 2.

Given numbers are 862, 208, 820

The list of prime factors of all numbers are

Prime factors of 862 are 2 x 431

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 862, 208, 820 is 2.

Given numbers are 862, 208, 820

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

Apply this formula for all numbers.

Step1:

LCM(862, 208) = 89648

GCD(862, 208) = ( 862 x 208 ) / 89648

= 862 / 208

= 862

Step2:

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

= 2 / 820

= 2

So, Greatest Common Divisor of 862, 208, 820 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 185, 943, 428
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Given numbers are 862, 208, 820
The greatest common divisor of numbers 862, 208, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 862, 208, 820 is 2.

1. What is the GCD of 862, 208, 820?

GCD of given numbers 862, 208, 820 is 2

2. How to calculate the greatest common divisor of 862, 208, 820?

We can find the highest common divisor of 862, 208, 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 862, 208, 820 i.e 2.

3. How can I use the GCD of 862, 208, 820Calculator?

Out the numbers 862, 208, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.