Online GCD Calculator is useful to find the GCD of 213, 752, 438, 321 quickly. Get the easiest ways to solve the greatest common divisor of 213, 752, 438, 321 i.e 1 in different methods as follows.
Given Input numbers are 213, 752, 438, 321
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 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
GCD of numbers is the greatest common divisor
So, the GCD (213, 752, 438, 321) = 1.
Given numbers are 213, 752, 438, 321
The list of prime factors of all numbers are
Prime factors of 213 are 3 x 71
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
Prime factors of 438 are 2 x 3 x 73
Prime factors of 321 are 3 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 213, 752, 438, 321
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(213, 752) = 160176
GCD(213, 752) = ( 213 x 752 ) / 160176
= 213 / 752
= 213
Step2:
LCM(1, 438) = 438
GCD(1, 438) = ( 1 x 438 ) / 438
= 1 / 438
= 1
Step3:
LCM(1, 321) = 321
GCD(1, 321) = ( 1 x 321 ) / 321
= 1 / 321
= 1
So, Greatest Common Divisor of 213, 752, 438, 321 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 213, 752, 438, 321
The greatest common divisor of numbers 213, 752, 438, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 213, 752, 438, 321 is 1.
1. What is the GCD of 213, 752, 438, 321?
GCD of given numbers 213, 752, 438, 321 is 1
2. How to calculate the greatest common divisor of 213, 752, 438, 321?
We can find the highest common divisor of 213, 752, 438, 321 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, 752, 438, 321 i.e 1.
3. How can I use the GCD of 213, 752, 438, 321Calculator?
Out the numbers 213, 752, 438, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.