Online GCD Calculator is useful to find the GCD of 342, 550, 316, 123 quickly. Get the easiest ways to solve the greatest common divisor of 342, 550, 316, 123 i.e 1 in different methods as follows.
Given Input numbers are 342, 550, 316, 123
In the factoring method, we have to find the divisors of all numbers
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 550 :
The positive integer divisors of 550 that completely divides 550 are.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
GCD of numbers is the greatest common divisor
So, the GCD (342, 550, 316, 123) = 1.
Given numbers are 342, 550, 316, 123
The list of prime factors of all numbers are
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 316 are 2 x 2 x 79
Prime factors of 123 are 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 342, 550, 316, 123
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(342, 550) = 94050
GCD(342, 550) = ( 342 x 550 ) / 94050
= 342 / 550
= 342
Step2:
LCM(2, 316) = 316
GCD(2, 316) = ( 2 x 316 ) / 316
= 2 / 316
= 2
Step3:
LCM(2, 123) = 246
GCD(2, 123) = ( 2 x 123 ) / 246
= 2 / 123
= 2
So, Greatest Common Divisor of 342, 550, 316, 123 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 342, 550, 316, 123
The greatest common divisor of numbers 342, 550, 316, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 550, 316, 123 is 1.
1. What is the GCD of 342, 550, 316, 123?
GCD of given numbers 342, 550, 316, 123 is 1
2. How to calculate the greatest common divisor of 342, 550, 316, 123?
We can find the highest common divisor of 342, 550, 316, 123 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 342, 550, 316, 123 i.e 1.
3. How can I use the GCD of 342, 550, 316, 123Calculator?
Out the numbers 342, 550, 316, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.