GCD of 990, 242, 590, 213 Calculator

Given Input numbers are 990, 242, 590, 213

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

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 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

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 (990, 242, 590, 213) = 1.

Given numbers are 990, 242, 590, 213

The list of prime factors of all numbers are

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

Prime factors of 242 are 2 x 11 x 11

Prime factors of 590 are 2 x 5 x 59

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 990, 242, 590, 213

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

Apply this formula for all numbers.

Step1:

LCM(990, 242) = 10890

GCD(990, 242) = ( 990 x 242 ) / 10890

= 990 / 242

= 990

Step2:

LCM(22, 590) = 6490

GCD(22, 590) = ( 22 x 590 ) / 6490

= 22 / 590

= 22

Step3:

LCM(2, 213) = 426

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

= 2 / 213

= 2

So, Greatest Common Divisor of 990, 242, 590, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 868, 333, 410, 759
• GCD of 545, 215, 618, 221
• GCD of 458, 194, 607, 716
• GCD of 570, 542, 530, 146
• GCD of 922, 520, 145, 124

Given numbers are 990, 242, 590, 213
The greatest common divisor of numbers 990, 242, 590, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 242, 590, 213 is 1.

1. What is the GCD of 990, 242, 590, 213?

GCD of given numbers 990, 242, 590, 213 is 1

2. How to calculate the greatest common divisor of 990, 242, 590, 213?

We can find the highest common divisor of 990, 242, 590, 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 990, 242, 590, 213 i.e 1.

3. How can I use the GCD of 990, 242, 590, 213Calculator?

Out the numbers 990, 242, 590, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.