GCD of 822, 550, 490, 992 Calculator

Given Input numbers are 822, 550, 490, 992

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 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

GCD of numbers is the greatest common divisor

So, the GCD (822, 550, 490, 992) = 2.

Given numbers are 822, 550, 490, 992

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

The highest common occurrence is 2¹

Therefore, GCD of 822, 550, 490, 992 is 2.

Given numbers are 822, 550, 490, 992

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

Apply this formula for all numbers.

Step1:

LCM(822, 550) = 226050

GCD(822, 550) = ( 822 x 550 ) / 226050

= 822 / 550

= 822

Step2:

LCM(2, 490) = 490

GCD(2, 490) = ( 2 x 490 ) / 490

= 2 / 490

= 2

Step3:

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

= 2 / 992

= 2

So, Greatest Common Divisor of 822, 550, 490, 992 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 290, 497, 617, 987
• GCD of 968, 251, 565, 266
• GCD of 280, 544, 370, 566
• GCD of 286, 551, 464, 490
• GCD of 431, 820, 298, 836

Given numbers are 822, 550, 490, 992
The greatest common divisor of numbers 822, 550, 490, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 550, 490, 992 is 2.

1. What is the GCD of 822, 550, 490, 992?

GCD of given numbers 822, 550, 490, 992 is 2

2. How to calculate the greatest common divisor of 822, 550, 490, 992?

We can find the highest common divisor of 822, 550, 490, 992 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, 550, 490, 992 i.e 2.

3. How can I use the GCD of 822, 550, 490, 992Calculator?

Out the numbers 822, 550, 490, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.