GCD of 382, 556, 372, 506 Calculator

Given Input numbers are 382, 556, 372, 506

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

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 506 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (382, 556, 372, 506) = 2.

Given numbers are 382, 556, 372, 506

The list of prime factors of all numbers are

Prime factors of 382 are 2 x 191

Prime factors of 556 are 2 x 2 x 139

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 506 are 2 x 11 x 23

The highest common occurrence is 2¹

Therefore, GCD of 382, 556, 372, 506 is 2.

Given numbers are 382, 556, 372, 506

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

Apply this formula for all numbers.

Step1:

LCM(382, 556) = 106196

GCD(382, 556) = ( 382 x 556 ) / 106196

= 382 / 556

= 382

Step2:

LCM(2, 372) = 372

GCD(2, 372) = ( 2 x 372 ) / 372

= 2 / 372

= 2

Step3:

LCM(2, 506) = 506

GCD(2, 506) = ( 2 x 506 ) / 506

= 2 / 506

= 2

So, Greatest Common Divisor of 382, 556, 372, 506 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 804, 380, 568, 807
• GCD of 807, 793, 649, 115
• GCD of 119, 456, 403, 959
• GCD of 192, 186, 934, 537
• GCD of 209, 522, 192, 129

Given numbers are 382, 556, 372, 506
The greatest common divisor of numbers 382, 556, 372, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 556, 372, 506 is 2.

1. What is the GCD of 382, 556, 372, 506?

GCD of given numbers 382, 556, 372, 506 is 2

2. How to calculate the greatest common divisor of 382, 556, 372, 506?

We can find the highest common divisor of 382, 556, 372, 506 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 382, 556, 372, 506 i.e 2.

3. How can I use the GCD of 382, 556, 372, 506Calculator?

Out the numbers 382, 556, 372, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.