Online GCD Calculator is useful to find the GCD of 123, 915, 422, 121 quickly. Get the easiest ways to solve the greatest common divisor of 123, 915, 422, 121 i.e 1 in different methods as follows.
Given Input numbers are 123, 915, 422, 121
In the factoring method, we have to find the divisors of all numbers
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
Divisors of 915 :
The positive integer divisors of 915 that completely divides 915 are.
1, 3, 5, 15, 61, 183, 305, 915
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
Divisors of 121 :
The positive integer divisors of 121 that completely divides 121 are.
1, 11, 121
GCD of numbers is the greatest common divisor
So, the GCD (123, 915, 422, 121) = 1.
Given numbers are 123, 915, 422, 121
The list of prime factors of all numbers are
Prime factors of 123 are 3 x 41
Prime factors of 915 are 3 x 5 x 61
Prime factors of 422 are 2 x 211
Prime factors of 121 are 11 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 123, 915, 422, 121
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(123, 915) = 37515
GCD(123, 915) = ( 123 x 915 ) / 37515
= 123 / 915
= 123
Step2:
LCM(3, 422) = 1266
GCD(3, 422) = ( 3 x 422 ) / 1266
= 3 / 422
= 3
Step3:
LCM(1, 121) = 121
GCD(1, 121) = ( 1 x 121 ) / 121
= 1 / 121
= 1
So, Greatest Common Divisor of 123, 915, 422, 121 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 123, 915, 422, 121
The greatest common divisor of numbers 123, 915, 422, 121 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 915, 422, 121 is 1.
1. What is the GCD of 123, 915, 422, 121?
GCD of given numbers 123, 915, 422, 121 is 1
2. How to calculate the greatest common divisor of 123, 915, 422, 121?
We can find the highest common divisor of 123, 915, 422, 121 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 123, 915, 422, 121 i.e 1.
3. How can I use the GCD of 123, 915, 422, 121Calculator?
Out the numbers 123, 915, 422, 121 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.