GCD of 380, 200, 772, 331 Calculator

Given Input numbers are 380, 200, 772, 331

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 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 331 :

The positive integer divisors of 331 that completely divides 331 are.

1, 331

GCD of numbers is the greatest common divisor

So, the GCD (380, 200, 772, 331) = 1.

Given numbers are 380, 200, 772, 331

The list of prime factors of all numbers are

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

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 772 are 2 x 2 x 193

Prime factors of 331 are 331

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

Given numbers are 380, 200, 772, 331

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

Apply this formula for all numbers.

Step1:

LCM(380, 200) = 3800

GCD(380, 200) = ( 380 x 200 ) / 3800

= 380 / 200

= 380

Step2:

LCM(20, 772) = 3860

GCD(20, 772) = ( 20 x 772 ) / 3860

= 20 / 772

= 20

Step3:

LCM(4, 331) = 1324

GCD(4, 331) = ( 4 x 331 ) / 1324

= 4 / 331

= 4

So, Greatest Common Divisor of 380, 200, 772, 331 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 301, 283, 387, 432
• GCD of 974, 525, 910, 157
• GCD of 785, 915, 453, 961
• GCD of 175, 914, 199, 850
• GCD of 163, 686, 434, 316

Given numbers are 380, 200, 772, 331
The greatest common divisor of numbers 380, 200, 772, 331 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 200, 772, 331 is 1.

1. What is the GCD of 380, 200, 772, 331?

GCD of given numbers 380, 200, 772, 331 is 1

2. How to calculate the greatest common divisor of 380, 200, 772, 331?

We can find the highest common divisor of 380, 200, 772, 331 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, 200, 772, 331 i.e 1.

3. How can I use the GCD of 380, 200, 772, 331Calculator?

Out the numbers 380, 200, 772, 331 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.