Online GCD Calculator is useful to find the GCD of 574, 378, 369, 221 quickly. Get the easiest ways to solve the greatest common divisor of 574, 378, 369, 221 i.e 1 in different methods as follows.
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.
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.