GCD of 360, 523, 380, 915 Calculator

Given Input numbers are 360, 523, 380, 915

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 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 915 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (360, 523, 380, 915) = 1.

Given numbers are 360, 523, 380, 915

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 523 are 523

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 915 are 3 x 5 x 61

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

Given numbers are 360, 523, 380, 915

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

Apply this formula for all numbers.

Step1:

LCM(360, 523) = 188280

GCD(360, 523) = ( 360 x 523 ) / 188280

= 360 / 523

= 360

Step2:

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

= 1 / 380

= 1

Step3:

LCM(1, 915) = 915

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

= 1 / 915

= 1

So, Greatest Common Divisor of 360, 523, 380, 915 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 344, 448, 737, 258
• GCD of 240, 729, 378, 397
• GCD of 497, 647, 494, 776
• GCD of 192, 586, 821, 461
• GCD of 776, 835, 380, 736

Given numbers are 360, 523, 380, 915
The greatest common divisor of numbers 360, 523, 380, 915 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 523, 380, 915 is 1.

1. What is the GCD of 360, 523, 380, 915?

GCD of given numbers 360, 523, 380, 915 is 1

2. How to calculate the greatest common divisor of 360, 523, 380, 915?

We can find the highest common divisor of 360, 523, 380, 915 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, 523, 380, 915 i.e 1.

3. How can I use the GCD of 360, 523, 380, 915Calculator?

Out the numbers 360, 523, 380, 915 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.