GCD of 381, 172, 182, 820 Calculator

Given Input numbers are 381, 172, 182, 820

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

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

GCD of numbers is the greatest common divisor

So, the GCD (381, 172, 182, 820) = 1.

Given numbers are 381, 172, 182, 820

The list of prime factors of all numbers are

Prime factors of 381 are 3 x 127

Prime factors of 172 are 2 x 2 x 43

Prime factors of 182 are 2 x 7 x 13

Prime factors of 820 are 2 x 2 x 5 x 41

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

Given numbers are 381, 172, 182, 820

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

Apply this formula for all numbers.

Step1:

LCM(381, 172) = 65532

GCD(381, 172) = ( 381 x 172 ) / 65532

= 381 / 172

= 381

Step2:

LCM(1, 182) = 182

GCD(1, 182) = ( 1 x 182 ) / 182

= 1 / 182

= 1

Step3:

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

= 1 / 820

= 1

So, Greatest Common Divisor of 381, 172, 182, 820 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 589, 978, 631
• GCD of 684, 162, 523, 924
• GCD of 405, 333, 324, 846
• GCD of 511, 836, 332, 242
• GCD of 163, 876, 441, 711

Given numbers are 381, 172, 182, 820
The greatest common divisor of numbers 381, 172, 182, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 381, 172, 182, 820 is 1.

1. What is the GCD of 381, 172, 182, 820?

GCD of given numbers 381, 172, 182, 820 is 1

2. How to calculate the greatest common divisor of 381, 172, 182, 820?

We can find the highest common divisor of 381, 172, 182, 820 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 381, 172, 182, 820 i.e 1.

3. How can I use the GCD of 381, 172, 182, 820Calculator?

Out the numbers 381, 172, 182, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.