GCD of 207, 420, 367, 189 Calculator

Given Input numbers are 207, 420, 367, 189

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

Divisors of 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207

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 367 :

The positive integer divisors of 367 that completely divides 367 are.

1, 367

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

GCD of numbers is the greatest common divisor

So, the GCD (207, 420, 367, 189) = 1.

Given numbers are 207, 420, 367, 189

The list of prime factors of all numbers are

Prime factors of 207 are 3 x 3 x 23

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

Prime factors of 367 are 367

Prime factors of 189 are 3 x 3 x 3 x 7

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

Given numbers are 207, 420, 367, 189

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

Apply this formula for all numbers.

Step1:

LCM(207, 420) = 28980

GCD(207, 420) = ( 207 x 420 ) / 28980

= 207 / 420

= 207

Step2:

LCM(3, 367) = 1101

GCD(3, 367) = ( 3 x 367 ) / 1101

= 3 / 367

= 3

Step3:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1

So, Greatest Common Divisor of 207, 420, 367, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 646, 598, 692, 676
• GCD of 784, 850, 734, 959
• GCD of 878, 184, 112, 916
• GCD of 602, 397, 644, 865
• GCD of 413, 948, 951, 224

Given numbers are 207, 420, 367, 189
The greatest common divisor of numbers 207, 420, 367, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 207, 420, 367, 189 is 1.

1. What is the GCD of 207, 420, 367, 189?

GCD of given numbers 207, 420, 367, 189 is 1

2. How to calculate the greatest common divisor of 207, 420, 367, 189?

We can find the highest common divisor of 207, 420, 367, 189 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 207, 420, 367, 189 i.e 1.

3. How can I use the GCD of 207, 420, 367, 189Calculator?

Out the numbers 207, 420, 367, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.