Online GCD Calculator is useful to find the GCD of 345, 147, 209, 170 quickly. Get the easiest ways to solve the greatest common divisor of 345, 147, 209, 170 i.e 1 in different methods as follows.
Given Input numbers are 345, 147, 209, 170
In the factoring method, we have to find the divisors of all numbers
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
Divisors of 209 :
The positive integer divisors of 209 that completely divides 209 are.
1, 11, 19, 209
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
GCD of numbers is the greatest common divisor
So, the GCD (345, 147, 209, 170) = 1.
Given numbers are 345, 147, 209, 170
The list of prime factors of all numbers are
Prime factors of 345 are 3 x 5 x 23
Prime factors of 147 are 3 x 7 x 7
Prime factors of 209 are 11 x 19
Prime factors of 170 are 2 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 345, 147, 209, 170
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(345, 147) = 16905
GCD(345, 147) = ( 345 x 147 ) / 16905
= 345 / 147
= 345
Step2:
LCM(3, 209) = 627
GCD(3, 209) = ( 3 x 209 ) / 627
= 3 / 209
= 3
Step3:
LCM(1, 170) = 170
GCD(1, 170) = ( 1 x 170 ) / 170
= 1 / 170
= 1
So, Greatest Common Divisor of 345, 147, 209, 170 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 345, 147, 209, 170
The greatest common divisor of numbers 345, 147, 209, 170 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 147, 209, 170 is 1.
1. What is the GCD of 345, 147, 209, 170?
GCD of given numbers 345, 147, 209, 170 is 1
2. How to calculate the greatest common divisor of 345, 147, 209, 170?
We can find the highest common divisor of 345, 147, 209, 170 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 345, 147, 209, 170 i.e 1.
3. How can I use the GCD of 345, 147, 209, 170Calculator?
Out the numbers 345, 147, 209, 170 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.