GCD of 309, 359, 462, 420 Calculator

Given Input numbers are 309, 359, 462, 420

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

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 (309, 359, 462, 420) = 1.

Given numbers are 309, 359, 462, 420

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 359 are 359

Prime factors of 462 are 2 x 3 x 7 x 11

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 309, 359, 462, 420

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

Apply this formula for all numbers.

Step1:

LCM(309, 359) = 110931

GCD(309, 359) = ( 309 x 359 ) / 110931

= 309 / 359

= 309

Step2:

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

= 1 / 462

= 1

Step3:

LCM(1, 420) = 420

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

= 1 / 420

= 1

So, Greatest Common Divisor of 309, 359, 462, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 938, 112, 208, 188
• GCD of 431, 397, 343, 229
• GCD of 135, 678, 243, 373
• GCD of 838, 155, 127, 645
• GCD of 339, 186, 665, 548

Given numbers are 309, 359, 462, 420
The greatest common divisor of numbers 309, 359, 462, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 359, 462, 420 is 1.

1. What is the GCD of 309, 359, 462, 420?

GCD of given numbers 309, 359, 462, 420 is 1

2. How to calculate the greatest common divisor of 309, 359, 462, 420?

We can find the highest common divisor of 309, 359, 462, 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 309, 359, 462, 420 i.e 1.

3. How can I use the GCD of 309, 359, 462, 420Calculator?

Out the numbers 309, 359, 462, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.