Online GCD Calculator is useful to find the GCD of 422, 290, 123, 270 quickly. Get the easiest ways to solve the greatest common divisor of 422, 290, 123, 270 i.e 1 in different methods as follows.
Given Input numbers are 422, 290, 123, 270
In the factoring method, we have to find the divisors of all numbers
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
Divisors of 290 :
The positive integer divisors of 290 that completely divides 290 are.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
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
GCD of numbers is the greatest common divisor
So, the GCD (422, 290, 123, 270) = 1.
Given numbers are 422, 290, 123, 270
The list of prime factors of all numbers are
Prime factors of 422 are 2 x 211
Prime factors of 290 are 2 x 5 x 29
Prime factors of 123 are 3 x 41
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 422, 290, 123, 270
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(422, 290) = 61190
GCD(422, 290) = ( 422 x 290 ) / 61190
= 422 / 290
= 422
Step2:
LCM(2, 123) = 246
GCD(2, 123) = ( 2 x 123 ) / 246
= 2 / 123
= 2
Step3:
LCM(1, 270) = 270
GCD(1, 270) = ( 1 x 270 ) / 270
= 1 / 270
= 1
So, Greatest Common Divisor of 422, 290, 123, 270 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 422, 290, 123, 270
The greatest common divisor of numbers 422, 290, 123, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 290, 123, 270 is 1.
1. What is the GCD of 422, 290, 123, 270?
GCD of given numbers 422, 290, 123, 270 is 1
2. How to calculate the greatest common divisor of 422, 290, 123, 270?
We can find the highest common divisor of 422, 290, 123, 270 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 422, 290, 123, 270 i.e 1.
3. How can I use the GCD of 422, 290, 123, 270Calculator?
Out the numbers 422, 290, 123, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.