Online GCD Calculator is useful to find the GCD of 122, 345, 420, 255 quickly. Get the easiest ways to solve the greatest common divisor of 122, 345, 420, 255 i.e 1 in different methods as follows.
Given Input numbers are 122, 345, 420, 255
In the factoring method, we have to find the divisors of all numbers
Divisors of 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
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 255 :
The positive integer divisors of 255 that completely divides 255 are.
1, 3, 5, 15, 17, 51, 85, 255
GCD of numbers is the greatest common divisor
So, the GCD (122, 345, 420, 255) = 1.
Given numbers are 122, 345, 420, 255
The list of prime factors of all numbers are
Prime factors of 122 are 2 x 61
Prime factors of 345 are 3 x 5 x 23
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 255 are 3 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 122, 345, 420, 255
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(122, 345) = 42090
GCD(122, 345) = ( 122 x 345 ) / 42090
= 122 / 345
= 122
Step2:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
Step3:
LCM(1, 255) = 255
GCD(1, 255) = ( 1 x 255 ) / 255
= 1 / 255
= 1
So, Greatest Common Divisor of 122, 345, 420, 255 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 122, 345, 420, 255
The greatest common divisor of numbers 122, 345, 420, 255 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 122, 345, 420, 255 is 1.
1. What is the GCD of 122, 345, 420, 255?
GCD of given numbers 122, 345, 420, 255 is 1
2. How to calculate the greatest common divisor of 122, 345, 420, 255?
We can find the highest common divisor of 122, 345, 420, 255 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 122, 345, 420, 255 i.e 1.
3. How can I use the GCD of 122, 345, 420, 255Calculator?
Out the numbers 122, 345, 420, 255 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.