GCD of 490, 822, 442, 213 Calculator

Given Input numbers are 490, 822, 442, 213

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

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 822 :

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

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

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

GCD of numbers is the greatest common divisor

So, the GCD (490, 822, 442, 213) = 1.

Given numbers are 490, 822, 442, 213

The list of prime factors of all numbers are

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

Prime factors of 822 are 2 x 3 x 137

Prime factors of 442 are 2 x 13 x 17

Prime factors of 213 are 3 x 71

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

Given numbers are 490, 822, 442, 213

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

Apply this formula for all numbers.

Step1:

LCM(490, 822) = 201390

GCD(490, 822) = ( 490 x 822 ) / 201390

= 490 / 822

= 490

Step2:

LCM(2, 442) = 442

GCD(2, 442) = ( 2 x 442 ) / 442

= 2 / 442

= 2

Step3:

LCM(2, 213) = 426

GCD(2, 213) = ( 2 x 213 ) / 426

= 2 / 213

= 2

So, Greatest Common Divisor of 490, 822, 442, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 376, 175, 487, 785
• GCD of 699, 827, 976, 283
• GCD of 568, 585, 798, 498
• GCD of 536, 285, 189, 926
• GCD of 458, 925, 214, 646

Given numbers are 490, 822, 442, 213
The greatest common divisor of numbers 490, 822, 442, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 822, 442, 213 is 1.

1. What is the GCD of 490, 822, 442, 213?

GCD of given numbers 490, 822, 442, 213 is 1

2. How to calculate the greatest common divisor of 490, 822, 442, 213?

We can find the highest common divisor of 490, 822, 442, 213 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 490, 822, 442, 213 i.e 1.

3. How can I use the GCD of 490, 822, 442, 213Calculator?

Out the numbers 490, 822, 442, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.