GCD of 420, 582, 213, 200 Calculator

Given Input numbers are 420, 582, 213, 200

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

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 213 :

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

1, 3, 71, 213

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

GCD of numbers is the greatest common divisor

So, the GCD (420, 582, 213, 200) = 1.

Given numbers are 420, 582, 213, 200

The list of prime factors of all numbers are

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 582 are 2 x 3 x 97

Prime factors of 213 are 3 x 71

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

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

Given numbers are 420, 582, 213, 200

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

Apply this formula for all numbers.

Step1:

LCM(420, 582) = 40740

GCD(420, 582) = ( 420 x 582 ) / 40740

= 420 / 582

= 420

Step2:

LCM(6, 213) = 426

GCD(6, 213) = ( 6 x 213 ) / 426

= 6 / 213

= 6

Step3:

LCM(3, 200) = 600

GCD(3, 200) = ( 3 x 200 ) / 600

= 3 / 200

= 3

So, Greatest Common Divisor of 420, 582, 213, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 424, 985, 751
• GCD of 347, 337, 227, 156
• GCD of 571, 266, 486, 981
• GCD of 557, 219, 502, 798
• GCD of 704, 333, 950, 447

Given numbers are 420, 582, 213, 200
The greatest common divisor of numbers 420, 582, 213, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 582, 213, 200 is 1.

1. What is the GCD of 420, 582, 213, 200?

GCD of given numbers 420, 582, 213, 200 is 1

2. How to calculate the greatest common divisor of 420, 582, 213, 200?

We can find the highest common divisor of 420, 582, 213, 200 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 420, 582, 213, 200 i.e 1.

3. How can I use the GCD of 420, 582, 213, 200Calculator?

Out the numbers 420, 582, 213, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.