GCD of 306, 189, 472, 420 Calculator

Given Input numbers are 306, 189, 472, 420

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

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 189 :

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

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

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

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

GCD of numbers is the greatest common divisor

So, the GCD (306, 189, 472, 420) = 1.

Given numbers are 306, 189, 472, 420

The list of prime factors of all numbers are

Prime factors of 306 are 2 x 3 x 3 x 17

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

Prime factors of 472 are 2 x 2 x 2 x 59

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

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

Given numbers are 306, 189, 472, 420

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

Apply this formula for all numbers.

Step1:

LCM(306, 189) = 6426

GCD(306, 189) = ( 306 x 189 ) / 6426

= 306 / 189

= 306

Step2:

LCM(9, 472) = 4248

GCD(9, 472) = ( 9 x 472 ) / 4248

= 9 / 472

= 9

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 306, 189, 472, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 711, 337, 932, 101
• GCD of 667, 719, 196, 404
• GCD of 105, 588, 325, 735
• GCD of 800, 928, 161, 971
• GCD of 603, 283, 327, 177

Given numbers are 306, 189, 472, 420
The greatest common divisor of numbers 306, 189, 472, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 306, 189, 472, 420 is 1.

1. What is the GCD of 306, 189, 472, 420?

GCD of given numbers 306, 189, 472, 420 is 1

2. How to calculate the greatest common divisor of 306, 189, 472, 420?

We can find the highest common divisor of 306, 189, 472, 420 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 306, 189, 472, 420 i.e 1.

3. How can I use the GCD of 306, 189, 472, 420Calculator?

Out the numbers 306, 189, 472, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.