GCD of 238, 644, 820, 361 Calculator

Given Input numbers are 238, 644, 820, 361

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

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

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

Divisors of 361 :

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

1, 19, 361

GCD of numbers is the greatest common divisor

So, the GCD (238, 644, 820, 361) = 1.

Given numbers are 238, 644, 820, 361

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 644 are 2 x 2 x 7 x 23

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

Prime factors of 361 are 19 x 19

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

Given numbers are 238, 644, 820, 361

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

Apply this formula for all numbers.

Step1:

LCM(238, 644) = 10948

GCD(238, 644) = ( 238 x 644 ) / 10948

= 238 / 644

= 238

Step2:

LCM(14, 820) = 5740

GCD(14, 820) = ( 14 x 820 ) / 5740

= 14 / 820

= 14

Step3:

LCM(2, 361) = 722

GCD(2, 361) = ( 2 x 361 ) / 722

= 2 / 361

= 2

So, Greatest Common Divisor of 238, 644, 820, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 481, 706, 852, 460
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• GCD of 386, 612, 394, 495
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• GCD of 121, 997, 908, 671

Given numbers are 238, 644, 820, 361
The greatest common divisor of numbers 238, 644, 820, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 644, 820, 361 is 1.

1. What is the GCD of 238, 644, 820, 361?

GCD of given numbers 238, 644, 820, 361 is 1

2. How to calculate the greatest common divisor of 238, 644, 820, 361?

We can find the highest common divisor of 238, 644, 820, 361 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 238, 644, 820, 361 i.e 1.

3. How can I use the GCD of 238, 644, 820, 361Calculator?

Out the numbers 238, 644, 820, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.