Online GCD Calculator is useful to find the GCD of 322, 438, 270, 921 quickly. Get the easiest ways to solve the greatest common divisor of 322, 438, 270, 921 i.e 1 in different methods as follows.
Given Input numbers are 322, 438, 270, 921
In the factoring method, we have to find the divisors of all numbers
Divisors of 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
GCD of numbers is the greatest common divisor
So, the GCD (322, 438, 270, 921) = 1.
Given numbers are 322, 438, 270, 921
The list of prime factors of all numbers are
Prime factors of 322 are 2 x 7 x 23
Prime factors of 438 are 2 x 3 x 73
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 921 are 3 x 307
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 322, 438, 270, 921
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(322, 438) = 70518
GCD(322, 438) = ( 322 x 438 ) / 70518
= 322 / 438
= 322
Step2:
LCM(2, 270) = 270
GCD(2, 270) = ( 2 x 270 ) / 270
= 2 / 270
= 2
Step3:
LCM(2, 921) = 1842
GCD(2, 921) = ( 2 x 921 ) / 1842
= 2 / 921
= 2
So, Greatest Common Divisor of 322, 438, 270, 921 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 322, 438, 270, 921
The greatest common divisor of numbers 322, 438, 270, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 322, 438, 270, 921 is 1.
1. What is the GCD of 322, 438, 270, 921?
GCD of given numbers 322, 438, 270, 921 is 1
2. How to calculate the greatest common divisor of 322, 438, 270, 921?
We can find the highest common divisor of 322, 438, 270, 921 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 322, 438, 270, 921 i.e 1.
3. How can I use the GCD of 322, 438, 270, 921Calculator?
Out the numbers 322, 438, 270, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.