GCD of 822, 808, 120, 890 Calculator

Given Input numbers are 822, 808, 120, 890

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 808 :

The positive integer divisors of 808 that completely divides 808 are.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

GCD of numbers is the greatest common divisor

So, the GCD (822, 808, 120, 890) = 2.

Given numbers are 822, 808, 120, 890

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 808 are 2 x 2 x 2 x 101

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 890 are 2 x 5 x 89

The highest common occurrence is 2¹

Therefore, GCD of 822, 808, 120, 890 is 2.

Given numbers are 822, 808, 120, 890

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

Apply this formula for all numbers.

Step1:

LCM(822, 808) = 332088

GCD(822, 808) = ( 822 x 808 ) / 332088

= 822 / 808

= 822

Step2:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

Step3:

LCM(2, 890) = 890

GCD(2, 890) = ( 2 x 890 ) / 890

= 2 / 890

= 2

So, Greatest Common Divisor of 822, 808, 120, 890 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 895, 133, 284, 377
• GCD of 753, 132, 921, 875
• GCD of 259, 673, 385, 565
• GCD of 547, 755, 145, 379
• GCD of 525, 777, 649, 265

Given numbers are 822, 808, 120, 890
The greatest common divisor of numbers 822, 808, 120, 890 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 808, 120, 890 is 2.

1. What is the GCD of 822, 808, 120, 890?

GCD of given numbers 822, 808, 120, 890 is 2

2. How to calculate the greatest common divisor of 822, 808, 120, 890?

We can find the highest common divisor of 822, 808, 120, 890 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, 808, 120, 890 i.e 2.

3. How can I use the GCD of 822, 808, 120, 890Calculator?

Out the numbers 822, 808, 120, 890 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.