GCD of 380, 361, 583, 720 Calculator

Given Input numbers are 380, 361, 583, 720

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

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 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 583 :

The positive integer divisors of 583 that completely divides 583 are.

1, 11, 53, 583

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

GCD of numbers is the greatest common divisor

So, the GCD (380, 361, 583, 720) = 1.

Given numbers are 380, 361, 583, 720

The list of prime factors of all numbers are

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

Prime factors of 361 are 19 x 19

Prime factors of 583 are 11 x 53

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

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

Given numbers are 380, 361, 583, 720

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

Apply this formula for all numbers.

Step1:

LCM(380, 361) = 7220

GCD(380, 361) = ( 380 x 361 ) / 7220

= 380 / 361

= 380

Step2:

LCM(19, 583) = 11077

GCD(19, 583) = ( 19 x 583 ) / 11077

= 19 / 583

= 19

Step3:

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

= 1 / 720

= 1

So, Greatest Common Divisor of 380, 361, 583, 720 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 165, 370, 646, 844
• GCD of 714, 946, 676, 190
• GCD of 904, 200, 109, 233
• GCD of 812, 331, 897, 646
• GCD of 201, 384, 453, 588

Given numbers are 380, 361, 583, 720
The greatest common divisor of numbers 380, 361, 583, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 361, 583, 720 is 1.

1. What is the GCD of 380, 361, 583, 720?

GCD of given numbers 380, 361, 583, 720 is 1

2. How to calculate the greatest common divisor of 380, 361, 583, 720?

We can find the highest common divisor of 380, 361, 583, 720 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 380, 361, 583, 720 i.e 1.

3. How can I use the GCD of 380, 361, 583, 720Calculator?

Out the numbers 380, 361, 583, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.