GCD of 874, 206, 990, 822 Calculator

Given Input numbers are 874, 206, 990, 822

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

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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 (874, 206, 990, 822) = 2.

Given numbers are 874, 206, 990, 822

The list of prime factors of all numbers are

Prime factors of 874 are 2 x 19 x 23

Prime factors of 206 are 2 x 103

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 822 are 2 x 3 x 137

The highest common occurrence is 2¹

Therefore, GCD of 874, 206, 990, 822 is 2.

Given numbers are 874, 206, 990, 822

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

Apply this formula for all numbers.

Step1:

LCM(874, 206) = 90022

GCD(874, 206) = ( 874 x 206 ) / 90022

= 874 / 206

= 874

Step2:

LCM(2, 990) = 990

GCD(2, 990) = ( 2 x 990 ) / 990

= 2 / 990

= 2

Step3:

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

= 2 / 822

= 2

So, Greatest Common Divisor of 874, 206, 990, 822 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 997, 744, 227, 350
• GCD of 330, 890, 501, 946
• GCD of 233, 880, 386, 679
• GCD of 962, 743, 609, 842
• GCD of 294, 213, 257, 425

Given numbers are 874, 206, 990, 822
The greatest common divisor of numbers 874, 206, 990, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 874, 206, 990, 822 is 2.

1. What is the GCD of 874, 206, 990, 822?

GCD of given numbers 874, 206, 990, 822 is 2

2. How to calculate the greatest common divisor of 874, 206, 990, 822?

We can find the highest common divisor of 874, 206, 990, 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 874, 206, 990, 822 i.e 2.

3. How can I use the GCD of 874, 206, 990, 822Calculator?

Out the numbers 874, 206, 990, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.