GCD of 212, 150, 460, 409 Calculator

Given Input numbers are 212, 150, 460, 409

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

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

GCD of numbers is the greatest common divisor

So, the GCD (212, 150, 460, 409) = 1.

Given numbers are 212, 150, 460, 409

The list of prime factors of all numbers are

Prime factors of 212 are 2 x 2 x 53

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 409 are 409

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

Given numbers are 212, 150, 460, 409

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

Apply this formula for all numbers.

Step1:

LCM(212, 150) = 15900

GCD(212, 150) = ( 212 x 150 ) / 15900

= 212 / 150

= 212

Step2:

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

= 2 / 460

= 2

Step3:

LCM(2, 409) = 818

GCD(2, 409) = ( 2 x 409 ) / 818

= 2 / 409

= 2

So, Greatest Common Divisor of 212, 150, 460, 409 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 261, 793, 953, 790
• GCD of 129, 966, 482, 681
• GCD of 215, 667, 440, 470
• GCD of 521, 912, 295, 468
• GCD of 748, 575, 242, 116

Given numbers are 212, 150, 460, 409
The greatest common divisor of numbers 212, 150, 460, 409 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 212, 150, 460, 409 is 1.

1. What is the GCD of 212, 150, 460, 409?

GCD of given numbers 212, 150, 460, 409 is 1

2. How to calculate the greatest common divisor of 212, 150, 460, 409?

We can find the highest common divisor of 212, 150, 460, 409 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 212, 150, 460, 409 i.e 1.

3. How can I use the GCD of 212, 150, 460, 409Calculator?

Out the numbers 212, 150, 460, 409 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.