GCD of 360, 416, 770, 405 Calculator

Given Input numbers are 360, 416, 770, 405

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

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 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 405 :

The positive integer divisors of 405 that completely divides 405 are.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

GCD of numbers is the greatest common divisor

So, the GCD (360, 416, 770, 405) = 1.

Given numbers are 360, 416, 770, 405

The list of prime factors of all numbers are

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

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 405 are 3 x 3 x 3 x 3 x 5

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

Given numbers are 360, 416, 770, 405

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

Apply this formula for all numbers.

Step1:

LCM(360, 416) = 18720

GCD(360, 416) = ( 360 x 416 ) / 18720

= 360 / 416

= 360

Step2:

LCM(8, 770) = 3080

GCD(8, 770) = ( 8 x 770 ) / 3080

= 8 / 770

= 8

Step3:

LCM(2, 405) = 810

GCD(2, 405) = ( 2 x 405 ) / 810

= 2 / 405

= 2

So, Greatest Common Divisor of 360, 416, 770, 405 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 892, 464, 547, 732
• GCD of 768, 501, 730, 305
• GCD of 954, 242, 890, 659
• GCD of 185, 805, 239, 487
• GCD of 992, 303, 376, 224

Given numbers are 360, 416, 770, 405
The greatest common divisor of numbers 360, 416, 770, 405 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 416, 770, 405 is 1.

1. What is the GCD of 360, 416, 770, 405?

GCD of given numbers 360, 416, 770, 405 is 1

2. How to calculate the greatest common divisor of 360, 416, 770, 405?

We can find the highest common divisor of 360, 416, 770, 405 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 360, 416, 770, 405 i.e 1.

3. How can I use the GCD of 360, 416, 770, 405Calculator?

Out the numbers 360, 416, 770, 405 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.