Online GCD Calculator is useful to find the GCD of 229, 235, 355, 172 quickly. Get the easiest ways to solve the greatest common divisor of 229, 235, 355, 172 i.e 1 in different methods as follows.
Given Input numbers are 229, 235, 355, 172
In the factoring method, we have to find the divisors of all numbers
Divisors of 229 :
The positive integer divisors of 229 that completely divides 229 are.
1, 229
Divisors of 235 :
The positive integer divisors of 235 that completely divides 235 are.
1, 5, 47, 235
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
GCD of numbers is the greatest common divisor
So, the GCD (229, 235, 355, 172) = 1.
Given numbers are 229, 235, 355, 172
The list of prime factors of all numbers are
Prime factors of 229 are 229
Prime factors of 235 are 5 x 47
Prime factors of 355 are 5 x 71
Prime factors of 172 are 2 x 2 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 229, 235, 355, 172
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(229, 235) = 53815
GCD(229, 235) = ( 229 x 235 ) / 53815
= 229 / 235
= 229
Step2:
LCM(1, 355) = 355
GCD(1, 355) = ( 1 x 355 ) / 355
= 1 / 355
= 1
Step3:
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
= 1 / 172
= 1
So, Greatest Common Divisor of 229, 235, 355, 172 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 229, 235, 355, 172
The greatest common divisor of numbers 229, 235, 355, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 229, 235, 355, 172 is 1.
1. What is the GCD of 229, 235, 355, 172?
GCD of given numbers 229, 235, 355, 172 is 1
2. How to calculate the greatest common divisor of 229, 235, 355, 172?
We can find the highest common divisor of 229, 235, 355, 172 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 229, 235, 355, 172 i.e 1.
3. How can I use the GCD of 229, 235, 355, 172Calculator?
Out the numbers 229, 235, 355, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.