GCD of 420, 302, 365, 412 Calculator

Given Input numbers are 420, 302, 365, 412

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 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

GCD of numbers is the greatest common divisor

So, the GCD (420, 302, 365, 412) = 1.

Given numbers are 420, 302, 365, 412

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 302 are 2 x 151

Prime factors of 365 are 5 x 73

Prime factors of 412 are 2 x 2 x 103

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

Given numbers are 420, 302, 365, 412

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

Apply this formula for all numbers.

Step1:

LCM(420, 302) = 63420

GCD(420, 302) = ( 420 x 302 ) / 63420

= 420 / 302

= 420

Step2:

LCM(2, 365) = 730

GCD(2, 365) = ( 2 x 365 ) / 730

= 2 / 365

= 2

Step3:

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

= 1 / 412

= 1

So, Greatest Common Divisor of 420, 302, 365, 412 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 352, 641, 811, 888
• GCD of 255, 862, 253, 199
• GCD of 341, 290, 547, 956
• GCD of 785, 145, 401, 216
• GCD of 313, 396, 563, 333

Given numbers are 420, 302, 365, 412
The greatest common divisor of numbers 420, 302, 365, 412 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 302, 365, 412 is 1.

1. What is the GCD of 420, 302, 365, 412?

GCD of given numbers 420, 302, 365, 412 is 1

2. How to calculate the greatest common divisor of 420, 302, 365, 412?

We can find the highest common divisor of 420, 302, 365, 412 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, 302, 365, 412 i.e 1.

3. How can I use the GCD of 420, 302, 365, 412Calculator?

Out the numbers 420, 302, 365, 412 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.