GCD of 822, 788, 522, 849 Calculator

Given Input numbers are 822, 788, 522, 849

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

Divisors of 822 :

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

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

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

GCD of numbers is the greatest common divisor

So, the GCD (822, 788, 522, 849) = 1.

Given numbers are 822, 788, 522, 849

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 788 are 2 x 2 x 197

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 849 are 3 x 283

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 822, 788, 522, 849

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

Apply this formula for all numbers.

Step1:

LCM(822, 788) = 323868

GCD(822, 788) = ( 822 x 788 ) / 323868

= 822 / 788

= 822

Step2:

LCM(2, 522) = 522

GCD(2, 522) = ( 2 x 522 ) / 522

= 2 / 522

= 2

Step3:

LCM(2, 849) = 1698

GCD(2, 849) = ( 2 x 849 ) / 1698

= 2 / 849

= 2

So, Greatest Common Divisor of 822, 788, 522, 849 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 549, 565, 142, 138
• GCD of 609, 656, 890, 184
• GCD of 124, 138, 680, 375
• GCD of 778, 897, 761, 642
• GCD of 165, 369, 279, 311

Given numbers are 822, 788, 522, 849
The greatest common divisor of numbers 822, 788, 522, 849 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 788, 522, 849 is 1.

1. What is the GCD of 822, 788, 522, 849?

GCD of given numbers 822, 788, 522, 849 is 1

2. How to calculate the greatest common divisor of 822, 788, 522, 849?

We can find the highest common divisor of 822, 788, 522, 849 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 822, 788, 522, 849 i.e 1.

3. How can I use the GCD of 822, 788, 522, 849Calculator?

Out the numbers 822, 788, 522, 849 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.