Online GCD Calculator is useful to find the GCD of 172, 354, 358, 217 quickly. Get the easiest ways to solve the greatest common divisor of 172, 354, 358, 217 i.e 1 in different methods as follows.
Given Input numbers are 172, 354, 358, 217
In the factoring method, we have to find the divisors of all numbers
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 358 :
The positive integer divisors of 358 that completely divides 358 are.
1, 2, 179, 358
Divisors of 217 :
The positive integer divisors of 217 that completely divides 217 are.
1, 7, 31, 217
GCD of numbers is the greatest common divisor
So, the GCD (172, 354, 358, 217) = 1.
Given numbers are 172, 354, 358, 217
The list of prime factors of all numbers are
Prime factors of 172 are 2 x 2 x 43
Prime factors of 354 are 2 x 3 x 59
Prime factors of 358 are 2 x 179
Prime factors of 217 are 7 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 172, 354, 358, 217
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(172, 354) = 30444
GCD(172, 354) = ( 172 x 354 ) / 30444
= 172 / 354
= 172
Step2:
LCM(2, 358) = 358
GCD(2, 358) = ( 2 x 358 ) / 358
= 2 / 358
= 2
Step3:
LCM(2, 217) = 434
GCD(2, 217) = ( 2 x 217 ) / 434
= 2 / 217
= 2
So, Greatest Common Divisor of 172, 354, 358, 217 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 172, 354, 358, 217
The greatest common divisor of numbers 172, 354, 358, 217 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 354, 358, 217 is 1.
1. What is the GCD of 172, 354, 358, 217?
GCD of given numbers 172, 354, 358, 217 is 1
2. How to calculate the greatest common divisor of 172, 354, 358, 217?
We can find the highest common divisor of 172, 354, 358, 217 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 172, 354, 358, 217 i.e 1.
3. How can I use the GCD of 172, 354, 358, 217Calculator?
Out the numbers 172, 354, 358, 217 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.