Online GCD Calculator is useful to find the GCD of 172, 355, 719, 989 quickly. Get the easiest ways to solve the greatest common divisor of 172, 355, 719, 989 i.e 1 in different methods as follows.
Given Input numbers are 172, 355, 719, 989
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 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
Divisors of 719 :
The positive integer divisors of 719 that completely divides 719 are.
1, 719
Divisors of 989 :
The positive integer divisors of 989 that completely divides 989 are.
1, 23, 43, 989
GCD of numbers is the greatest common divisor
So, the GCD (172, 355, 719, 989) = 1.
Given numbers are 172, 355, 719, 989
The list of prime factors of all numbers are
Prime factors of 172 are 2 x 2 x 43
Prime factors of 355 are 5 x 71
Prime factors of 719 are 719
Prime factors of 989 are 23 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 172, 355, 719, 989
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(172, 355) = 61060
GCD(172, 355) = ( 172 x 355 ) / 61060
= 172 / 355
= 172
Step2:
LCM(1, 719) = 719
GCD(1, 719) = ( 1 x 719 ) / 719
= 1 / 719
= 1
Step3:
LCM(1, 989) = 989
GCD(1, 989) = ( 1 x 989 ) / 989
= 1 / 989
= 1
So, Greatest Common Divisor of 172, 355, 719, 989 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 172, 355, 719, 989
The greatest common divisor of numbers 172, 355, 719, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 172, 355, 719, 989 is 1.
1. What is the GCD of 172, 355, 719, 989?
GCD of given numbers 172, 355, 719, 989 is 1
2. How to calculate the greatest common divisor of 172, 355, 719, 989?
We can find the highest common divisor of 172, 355, 719, 989 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, 355, 719, 989 i.e 1.
3. How can I use the GCD of 172, 355, 719, 989Calculator?
Out the numbers 172, 355, 719, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.