GCD of 407, 360, 915, 462 Calculator

Given Input numbers are 407, 360, 915, 462

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

Divisors of 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 915 :

The positive integer divisors of 915 that completely divides 915 are.

1, 3, 5, 15, 61, 183, 305, 915

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

GCD of numbers is the greatest common divisor

So, the GCD (407, 360, 915, 462) = 1.

Given numbers are 407, 360, 915, 462

The list of prime factors of all numbers are

Prime factors of 407 are 11 x 37

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 915 are 3 x 5 x 61

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

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

Given numbers are 407, 360, 915, 462

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

Apply this formula for all numbers.

Step1:

LCM(407, 360) = 146520

GCD(407, 360) = ( 407 x 360 ) / 146520

= 407 / 360

= 407

Step2:

LCM(1, 915) = 915

GCD(1, 915) = ( 1 x 915 ) / 915

= 1 / 915

= 1

Step3:

LCM(1, 462) = 462

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

= 1 / 462

= 1

So, Greatest Common Divisor of 407, 360, 915, 462 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 580, 647, 335, 616
• GCD of 203, 801, 540, 393
• GCD of 287, 305, 947, 374
• GCD of 267, 574, 130, 493
• GCD of 144, 309, 981, 452

Given numbers are 407, 360, 915, 462
The greatest common divisor of numbers 407, 360, 915, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 407, 360, 915, 462 is 1.

1. What is the GCD of 407, 360, 915, 462?

GCD of given numbers 407, 360, 915, 462 is 1

2. How to calculate the greatest common divisor of 407, 360, 915, 462?

We can find the highest common divisor of 407, 360, 915, 462 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 407, 360, 915, 462 i.e 1.

3. How can I use the GCD of 407, 360, 915, 462Calculator?

Out the numbers 407, 360, 915, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.