GCD of 360, 399, 538, 656 Calculator

Given Input numbers are 360, 399, 538, 656

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 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

GCD of numbers is the greatest common divisor

So, the GCD (360, 399, 538, 656) = 1.

Given numbers are 360, 399, 538, 656

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 399 are 3 x 7 x 19

Prime factors of 538 are 2 x 269

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

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

Given numbers are 360, 399, 538, 656

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

Apply this formula for all numbers.

Step1:

LCM(360, 399) = 47880

GCD(360, 399) = ( 360 x 399 ) / 47880

= 360 / 399

= 360

Step2:

LCM(3, 538) = 1614

GCD(3, 538) = ( 3 x 538 ) / 1614

= 3 / 538

= 3

Step3:

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

= 1 / 656

= 1

So, Greatest Common Divisor of 360, 399, 538, 656 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 681, 656, 979, 871
• GCD of 408, 120, 188, 908
• GCD of 809, 411, 381, 330
• GCD of 242, 938, 160, 930
• GCD of 343, 903, 175, 520

Given numbers are 360, 399, 538, 656
The greatest common divisor of numbers 360, 399, 538, 656 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 399, 538, 656 is 1.

1. What is the GCD of 360, 399, 538, 656?

GCD of given numbers 360, 399, 538, 656 is 1

2. How to calculate the greatest common divisor of 360, 399, 538, 656?

We can find the highest common divisor of 360, 399, 538, 656 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, 399, 538, 656 i.e 1.

3. How can I use the GCD of 360, 399, 538, 656Calculator?

Out the numbers 360, 399, 538, 656 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.