GCD of 772, 412, 84, 822 Calculator

Given Input numbers are 772, 412, 84, 822

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

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 84 :

The positive integer divisors of 84 that completely divides 84 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

GCD of numbers is the greatest common divisor

So, the GCD (772, 412, 84, 822) = 2.

Given numbers are 772, 412, 84, 822

The list of prime factors of all numbers are

Prime factors of 772 are 2 x 2 x 193

Prime factors of 412 are 2 x 2 x 103

Prime factors of 84 are 2 x 2 x 3 x 7

Prime factors of 822 are 2 x 3 x 137

The highest common occurrence is 2¹

Therefore, GCD of 772, 412, 84, 822 is 2.

Given numbers are 772, 412, 84, 822

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

Apply this formula for all numbers.

Step1:

LCM(772, 412) = 79516

GCD(772, 412) = ( 772 x 412 ) / 79516

= 772 / 412

= 772

Step2:

LCM(4, 84) = 84

GCD(4, 84) = ( 4 x 84 ) / 84

= 4 / 84

= 4

Step3:

LCM(4, 822) = 1644

GCD(4, 822) = ( 4 x 822 ) / 1644

= 4 / 822

= 4

So, Greatest Common Divisor of 772, 412, 84, 822 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 348, 960, 98, 123
• GCD of 538, 564, 39, 630
• GCD of 886, 382, 55, 361
• GCD of 482, 324, 71, 282
• GCD of 482, 740, 37, 846

Given numbers are 772, 412, 84, 822
The greatest common divisor of numbers 772, 412, 84, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 412, 84, 822 is 2.

1. What is the GCD of 772, 412, 84, 822?

GCD of given numbers 772, 412, 84, 822 is 2

2. How to calculate the greatest common divisor of 772, 412, 84, 822?

We can find the highest common divisor of 772, 412, 84, 822 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 772, 412, 84, 822 i.e 2.

3. How can I use the GCD of 772, 412, 84, 822Calculator?

Out the numbers 772, 412, 84, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.