GCD of 360, 383, 506, 109 Calculator

Given Input numbers are 360, 383, 506, 109

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 383 :

The positive integer divisors of 383 that completely divides 383 are.

1, 383

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (360, 383, 506, 109) = 1.

Given numbers are 360, 383, 506, 109

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 383 are 383

Prime factors of 506 are 2 x 11 x 23

Prime factors of 109 are 109

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

Given numbers are 360, 383, 506, 109

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

Apply this formula for all numbers.

Step1:

LCM(360, 383) = 137880

GCD(360, 383) = ( 360 x 383 ) / 137880

= 360 / 383

= 360

Step2:

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

= 1 / 506

= 1

Step3:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

So, Greatest Common Divisor of 360, 383, 506, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 453, 461, 770, 869
• GCD of 632, 310, 345, 514
• GCD of 945, 640, 266, 576
• GCD of 494, 931, 339, 979
• GCD of 729, 777, 886, 423

Given numbers are 360, 383, 506, 109
The greatest common divisor of numbers 360, 383, 506, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 383, 506, 109 is 1.

1. What is the GCD of 360, 383, 506, 109?

GCD of given numbers 360, 383, 506, 109 is 1

2. How to calculate the greatest common divisor of 360, 383, 506, 109?

We can find the highest common divisor of 360, 383, 506, 109 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, 383, 506, 109 i.e 1.

3. How can I use the GCD of 360, 383, 506, 109Calculator?

Out the numbers 360, 383, 506, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.