GCD of 501, 444, 574, 361 Calculator

Given Input numbers are 501, 444, 574, 361

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

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

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 (501, 444, 574, 361) = 1.

Given numbers are 501, 444, 574, 361

The list of prime factors of all numbers are

Prime factors of 501 are 3 x 167

Prime factors of 444 are 2 x 2 x 3 x 37

Prime factors of 574 are 2 x 7 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 501, 444, 574, 361

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

Apply this formula for all numbers.

Step1:

LCM(501, 444) = 74148

GCD(501, 444) = ( 501 x 444 ) / 74148

= 501 / 444

= 501

Step2:

LCM(3, 574) = 1722

GCD(3, 574) = ( 3 x 574 ) / 1722

= 3 / 574

= 3

Step3:

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

= 1 / 361

= 1

So, Greatest Common Divisor of 501, 444, 574, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 186, 294, 153, 884
• GCD of 644, 863, 292, 145
• GCD of 131, 223, 591, 803
• GCD of 593, 560, 568, 740
• GCD of 896, 794, 403, 829

Given numbers are 501, 444, 574, 361
The greatest common divisor of numbers 501, 444, 574, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 501, 444, 574, 361 is 1.

1. What is the GCD of 501, 444, 574, 361?

GCD of given numbers 501, 444, 574, 361 is 1

2. How to calculate the greatest common divisor of 501, 444, 574, 361?

We can find the highest common divisor of 501, 444, 574, 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 501, 444, 574, 361 i.e 1.

3. How can I use the GCD of 501, 444, 574, 361Calculator?

Out the numbers 501, 444, 574, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.