Online GCD Calculator is useful to find the GCD of 166, 840, 75, 180 quickly. Get the easiest ways to solve the greatest common divisor of 166, 840, 75, 180 i.e 1 in different methods as follows.
Given Input numbers are 166, 840, 75, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 166 :
The positive integer divisors of 166 that completely divides 166 are.
1, 2, 83, 166
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 75 :
The positive integer divisors of 75 that completely divides 75 are.
1, 3, 5, 15, 25, 75
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
GCD of numbers is the greatest common divisor
So, the GCD (166, 840, 75, 180) = 1.
Given numbers are 166, 840, 75, 180
The list of prime factors of all numbers are
Prime factors of 166 are 2 x 83
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 75 are 3 x 5 x 5
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 166, 840, 75, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(166, 840) = 69720
GCD(166, 840) = ( 166 x 840 ) / 69720
= 166 / 840
= 166
Step2:
LCM(2, 75) = 150
GCD(2, 75) = ( 2 x 75 ) / 150
= 2 / 75
= 2
Step3:
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
= 1 / 180
= 1
So, Greatest Common Divisor of 166, 840, 75, 180 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 166, 840, 75, 180
The greatest common divisor of numbers 166, 840, 75, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 166, 840, 75, 180 is 1.
1. What is the GCD of 166, 840, 75, 180?
GCD of given numbers 166, 840, 75, 180 is 1
2. How to calculate the greatest common divisor of 166, 840, 75, 180?
We can find the highest common divisor of 166, 840, 75, 180 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 166, 840, 75, 180 i.e 1.
3. How can I use the GCD of 166, 840, 75, 180Calculator?
Out the numbers 166, 840, 75, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.