Online GCD Calculator is useful to find the GCD of 213, 221, 360, 834 quickly. Get the easiest ways to solve the greatest common divisor of 213, 221, 360, 834 i.e 1 in different methods as follows.
Given Input numbers are 213, 221, 360, 834
In the factoring method, we have to find the divisors of all numbers
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
Divisors of 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
GCD of numbers is the greatest common divisor
So, the GCD (213, 221, 360, 834) = 1.
Given numbers are 213, 221, 360, 834
The list of prime factors of all numbers are
Prime factors of 213 are 3 x 71
Prime factors of 221 are 13 x 17
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 834 are 2 x 3 x 139
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 213, 221, 360, 834
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(213, 221) = 47073
GCD(213, 221) = ( 213 x 221 ) / 47073
= 213 / 221
= 213
Step2:
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
= 1 / 360
= 1
Step3:
LCM(1, 834) = 834
GCD(1, 834) = ( 1 x 834 ) / 834
= 1 / 834
= 1
So, Greatest Common Divisor of 213, 221, 360, 834 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 213, 221, 360, 834
The greatest common divisor of numbers 213, 221, 360, 834 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 213, 221, 360, 834 is 1.
1. What is the GCD of 213, 221, 360, 834?
GCD of given numbers 213, 221, 360, 834 is 1
2. How to calculate the greatest common divisor of 213, 221, 360, 834?
We can find the highest common divisor of 213, 221, 360, 834 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 213, 221, 360, 834 i.e 1.
3. How can I use the GCD of 213, 221, 360, 834Calculator?
Out the numbers 213, 221, 360, 834 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.