GCD of 506, 909, 391, 380 Calculator

Given Input numbers are 506, 909, 391, 380

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

Divisors of 506 :

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

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

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 391 :

The positive integer divisors of 391 that completely divides 391 are.

1, 17, 23, 391

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

GCD of numbers is the greatest common divisor

So, the GCD (506, 909, 391, 380) = 1.

Given numbers are 506, 909, 391, 380

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 909 are 3 x 3 x 101

Prime factors of 391 are 17 x 23

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

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

Given numbers are 506, 909, 391, 380

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

Apply this formula for all numbers.

Step1:

LCM(506, 909) = 459954

GCD(506, 909) = ( 506 x 909 ) / 459954

= 506 / 909

= 506

Step2:

LCM(1, 391) = 391

GCD(1, 391) = ( 1 x 391 ) / 391

= 1 / 391

= 1

Step3:

LCM(1, 380) = 380

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

= 1 / 380

= 1

So, Greatest Common Divisor of 506, 909, 391, 380 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 444, 510, 761, 326
• GCD of 710, 593, 635, 465
• GCD of 901, 993, 642, 582
• GCD of 397, 750, 768, 655
• GCD of 791, 378, 427, 600

Given numbers are 506, 909, 391, 380
The greatest common divisor of numbers 506, 909, 391, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 909, 391, 380 is 1.

1. What is the GCD of 506, 909, 391, 380?

GCD of given numbers 506, 909, 391, 380 is 1

2. How to calculate the greatest common divisor of 506, 909, 391, 380?

We can find the highest common divisor of 506, 909, 391, 380 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 506, 909, 391, 380 i.e 1.

3. How can I use the GCD of 506, 909, 391, 380Calculator?

Out the numbers 506, 909, 391, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.