GCD of 580, 674, 822, 213 Calculator

Given Input numbers are 580, 674, 822, 213

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

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 822 :

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

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

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 (580, 674, 822, 213) = 1.

Given numbers are 580, 674, 822, 213

The list of prime factors of all numbers are

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 674 are 2 x 337

Prime factors of 822 are 2 x 3 x 137

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 580, 674, 822, 213

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

Apply this formula for all numbers.

Step1:

LCM(580, 674) = 195460

GCD(580, 674) = ( 580 x 674 ) / 195460

= 580 / 674

= 580

Step2:

LCM(2, 822) = 822

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

= 2 / 822

= 2

Step3:

LCM(2, 213) = 426

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

= 2 / 213

= 2

So, Greatest Common Divisor of 580, 674, 822, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 869, 488, 622, 551
• GCD of 988, 664, 243, 670
• GCD of 924, 609, 300, 963
• GCD of 305, 171, 346, 251
• GCD of 284, 561, 115, 855

Given numbers are 580, 674, 822, 213
The greatest common divisor of numbers 580, 674, 822, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 674, 822, 213 is 1.

1. What is the GCD of 580, 674, 822, 213?

GCD of given numbers 580, 674, 822, 213 is 1

2. How to calculate the greatest common divisor of 580, 674, 822, 213?

We can find the highest common divisor of 580, 674, 822, 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 580, 674, 822, 213 i.e 1.

3. How can I use the GCD of 580, 674, 822, 213Calculator?

Out the numbers 580, 674, 822, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.