Online GCD Calculator is useful to find the GCD of 345, 560, 122 quickly. Get the easiest ways to solve the greatest common divisor of 345, 560, 122 i.e 1 in different methods as follows.
Given Input numbers are 345, 560, 122
In the factoring method, we have to find the divisors of all numbers
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
GCD of numbers is the greatest common divisor
So, the GCD (345, 560, 122) = 1.
Given numbers are 345, 560, 122
The list of prime factors of all numbers are
Prime factors of 345 are 3 x 5 x 23
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 122 are 2 x 61
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 345, 560, 122
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(345, 560) = 38640
GCD(345, 560) = ( 345 x 560 ) / 38640
= 345 / 560
= 345
Step2:
LCM(5, 122) = 610
GCD(5, 122) = ( 5 x 122 ) / 610
= 5 / 122
= 5
So, Greatest Common Divisor of 345, 560, 122 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 345, 560, 122
The greatest common divisor of numbers 345, 560, 122 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 560, 122 is 1.
1. What is the GCD of 345, 560, 122?
GCD of given numbers 345, 560, 122 is 1
2. How to calculate the greatest common divisor of 345, 560, 122?
We can find the highest common divisor of 345, 560, 122 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 345, 560, 122 i.e 1.
3. How can I use the GCD of 345, 560, 122Calculator?
Out the numbers 345, 560, 122 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.