GCD of 235, 462, 420, 390 Calculator

Given Input numbers are 235, 462, 420, 390

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

Divisors of 235 :

The positive integer divisors of 235 that completely divides 235 are.

1, 5, 47, 235

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

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

GCD of numbers is the greatest common divisor

So, the GCD (235, 462, 420, 390) = 1.

Given numbers are 235, 462, 420, 390

The list of prime factors of all numbers are

Prime factors of 235 are 5 x 47

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

Prime factors of 390 are 2 x 3 x 5 x 13

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

Given numbers are 235, 462, 420, 390

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

Apply this formula for all numbers.

Step1:

LCM(235, 462) = 108570

GCD(235, 462) = ( 235 x 462 ) / 108570

= 235 / 462

= 235

Step2:

LCM(1, 420) = 420

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

= 1 / 420

= 1

Step3:

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

= 1 / 390

= 1

So, Greatest Common Divisor of 235, 462, 420, 390 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 730, 787, 611
• GCD of 405, 654, 300, 145
• GCD of 416, 846, 736, 731
• GCD of 516, 101, 188, 630
• GCD of 124, 444, 577, 872

Given numbers are 235, 462, 420, 390
The greatest common divisor of numbers 235, 462, 420, 390 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 235, 462, 420, 390 is 1.

1. What is the GCD of 235, 462, 420, 390?

GCD of given numbers 235, 462, 420, 390 is 1

2. How to calculate the greatest common divisor of 235, 462, 420, 390?

We can find the highest common divisor of 235, 462, 420, 390 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 235, 462, 420, 390 i.e 1.

3. How can I use the GCD of 235, 462, 420, 390Calculator?

Out the numbers 235, 462, 420, 390 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.