GCD of 842, 800, 212, 820 Calculator

Given Input numbers are 842, 800, 212, 820

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

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

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 (842, 800, 212, 820) = 2.

Given numbers are 842, 800, 212, 820

The list of prime factors of all numbers are

Prime factors of 842 are 2 x 421

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 212 are 2 x 2 x 53

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

The highest common occurrence is 2¹

Therefore, GCD of 842, 800, 212, 820 is 2.

Given numbers are 842, 800, 212, 820

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

Apply this formula for all numbers.

Step1:

LCM(842, 800) = 336800

GCD(842, 800) = ( 842 x 800 ) / 336800

= 842 / 800

= 842

Step2:

LCM(2, 212) = 212

GCD(2, 212) = ( 2 x 212 ) / 212

= 2 / 212

= 2

Step3:

LCM(2, 820) = 820

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

= 2 / 820

= 2

So, Greatest Common Divisor of 842, 800, 212, 820 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 210, 162, 419, 532
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• GCD of 727, 738, 936, 796

Given numbers are 842, 800, 212, 820
The greatest common divisor of numbers 842, 800, 212, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 800, 212, 820 is 2.

1. What is the GCD of 842, 800, 212, 820?

GCD of given numbers 842, 800, 212, 820 is 2

2. How to calculate the greatest common divisor of 842, 800, 212, 820?

We can find the highest common divisor of 842, 800, 212, 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 842, 800, 212, 820 i.e 2.

3. How can I use the GCD of 842, 800, 212, 820Calculator?

Out the numbers 842, 800, 212, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.