GCD of 574, 378, 369, 221 Calculator

Given Input numbers are 574, 378, 369, 221

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

Divisors of 574 :

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

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

GCD of numbers is the greatest common divisor

So, the GCD (574, 378, 369, 221) = 1.

Given numbers are 574, 378, 369, 221

The list of prime factors of all numbers are

Prime factors of 574 are 2 x 7 x 41

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 369 are 3 x 3 x 41

Prime factors of 221 are 13 x 17

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

Given numbers are 574, 378, 369, 221

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

Apply this formula for all numbers.

Step1:

LCM(574, 378) = 15498

GCD(574, 378) = ( 574 x 378 ) / 15498

= 574 / 378

= 574

Step2:

LCM(14, 369) = 5166

GCD(14, 369) = ( 14 x 369 ) / 5166

= 14 / 369

= 14

Step3:

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

= 1 / 221

= 1

So, Greatest Common Divisor of 574, 378, 369, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 415, 256, 669, 405
• GCD of 842, 973, 597, 307
• GCD of 320, 142, 742, 883
• GCD of 343, 403, 749, 492
• GCD of 955, 692, 353, 545

Given numbers are 574, 378, 369, 221
The greatest common divisor of numbers 574, 378, 369, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 574, 378, 369, 221 is 1.

1. What is the GCD of 574, 378, 369, 221?

GCD of given numbers 574, 378, 369, 221 is 1

2. How to calculate the greatest common divisor of 574, 378, 369, 221?

We can find the highest common divisor of 574, 378, 369, 221 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 574, 378, 369, 221 i.e 1.

3. How can I use the GCD of 574, 378, 369, 221Calculator?

Out the numbers 574, 378, 369, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.