Online GCD Calculator is useful to find the GCD of 170, 148, 75, 187 quickly. Get the easiest ways to solve the greatest common divisor of 170, 148, 75, 187 i.e 1 in different methods as follows.
Given Input numbers are 170, 148, 75, 187
In the factoring method, we have to find the divisors of all numbers
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
Divisors of 75 :
The positive integer divisors of 75 that completely divides 75 are.
1, 3, 5, 15, 25, 75
Divisors of 187 :
The positive integer divisors of 187 that completely divides 187 are.
1, 11, 17, 187
GCD of numbers is the greatest common divisor
So, the GCD (170, 148, 75, 187) = 1.
Given numbers are 170, 148, 75, 187
The list of prime factors of all numbers are
Prime factors of 170 are 2 x 5 x 17
Prime factors of 148 are 2 x 2 x 37
Prime factors of 75 are 3 x 5 x 5
Prime factors of 187 are 11 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 170, 148, 75, 187
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(170, 148) = 12580
GCD(170, 148) = ( 170 x 148 ) / 12580
= 170 / 148
= 170
Step2:
LCM(2, 75) = 150
GCD(2, 75) = ( 2 x 75 ) / 150
= 2 / 75
= 2
Step3:
LCM(1, 187) = 187
GCD(1, 187) = ( 1 x 187 ) / 187
= 1 / 187
= 1
So, Greatest Common Divisor of 170, 148, 75, 187 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 170, 148, 75, 187
The greatest common divisor of numbers 170, 148, 75, 187 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 148, 75, 187 is 1.
1. What is the GCD of 170, 148, 75, 187?
GCD of given numbers 170, 148, 75, 187 is 1
2. How to calculate the greatest common divisor of 170, 148, 75, 187?
We can find the highest common divisor of 170, 148, 75, 187 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 170, 148, 75, 187 i.e 1.
3. How can I use the GCD of 170, 148, 75, 187Calculator?
Out the numbers 170, 148, 75, 187 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.