Online GCD Calculator is useful to find the GCD of 243, 394, 172, 142 quickly. Get the easiest ways to solve the greatest common divisor of 243, 394, 172, 142 i.e 1 in different methods as follows.
Given Input numbers are 243, 394, 172, 142
In the factoring method, we have to find the divisors of all numbers
Divisors of 243 :
The positive integer divisors of 243 that completely divides 243 are.
1, 3, 9, 27, 81, 243
Divisors of 394 :
The positive integer divisors of 394 that completely divides 394 are.
1, 2, 197, 394
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
GCD of numbers is the greatest common divisor
So, the GCD (243, 394, 172, 142) = 1.
Given numbers are 243, 394, 172, 142
The list of prime factors of all numbers are
Prime factors of 243 are 3 x 3 x 3 x 3 x 3
Prime factors of 394 are 2 x 197
Prime factors of 172 are 2 x 2 x 43
Prime factors of 142 are 2 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 243, 394, 172, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(243, 394) = 95742
GCD(243, 394) = ( 243 x 394 ) / 95742
= 243 / 394
= 243
Step2:
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
= 1 / 172
= 1
Step3:
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
= 1 / 142
= 1
So, Greatest Common Divisor of 243, 394, 172, 142 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 243, 394, 172, 142
The greatest common divisor of numbers 243, 394, 172, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 243, 394, 172, 142 is 1.
1. What is the GCD of 243, 394, 172, 142?
GCD of given numbers 243, 394, 172, 142 is 1
2. How to calculate the greatest common divisor of 243, 394, 172, 142?
We can find the highest common divisor of 243, 394, 172, 142 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 243, 394, 172, 142 i.e 1.
3. How can I use the GCD of 243, 394, 172, 142Calculator?
Out the numbers 243, 394, 172, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.