Online GCD Calculator is useful to find the GCD of 327, 420, 731, 221 quickly. Get the easiest ways to solve the greatest common divisor of 327, 420, 731, 221 i.e 1 in different methods as follows.
Given Input numbers are 327, 420, 731, 221
In the factoring method, we have to find the divisors of all numbers
Divisors of 327 :
The positive integer divisors of 327 that completely divides 327 are.
1, 3, 109, 327
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
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 (327, 420, 731, 221) = 1.
Given numbers are 327, 420, 731, 221
The list of prime factors of all numbers are
Prime factors of 327 are 3 x 109
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 731 are 17 x 43
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 327, 420, 731, 221
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(327, 420) = 45780
GCD(327, 420) = ( 327 x 420 ) / 45780
= 327 / 420
= 327
Step2:
LCM(3, 731) = 2193
GCD(3, 731) = ( 3 x 731 ) / 2193
= 3 / 731
= 3
Step3:
LCM(1, 221) = 221
GCD(1, 221) = ( 1 x 221 ) / 221
= 1 / 221
= 1
So, Greatest Common Divisor of 327, 420, 731, 221 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 327, 420, 731, 221
The greatest common divisor of numbers 327, 420, 731, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 327, 420, 731, 221 is 1.
1. What is the GCD of 327, 420, 731, 221?
GCD of given numbers 327, 420, 731, 221 is 1
2. How to calculate the greatest common divisor of 327, 420, 731, 221?
We can find the highest common divisor of 327, 420, 731, 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 327, 420, 731, 221 i.e 1.
3. How can I use the GCD of 327, 420, 731, 221Calculator?
Out the numbers 327, 420, 731, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.