Online GCD Calculator is useful to find the GCD of 238, 166, 174, 142 quickly. Get the easiest ways to solve the greatest common divisor of 238, 166, 174, 142 i.e 2 in different methods as follows.
Given Input numbers are 238, 166, 174, 142
In the factoring method, we have to find the divisors of all numbers
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 166 :
The positive integer divisors of 166 that completely divides 166 are.
1, 2, 83, 166
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
GCD of numbers is the greatest common divisor
So, the GCD (238, 166, 174, 142) = 2.
Given numbers are 238, 166, 174, 142
The list of prime factors of all numbers are
Prime factors of 238 are 2 x 7 x 17
Prime factors of 166 are 2 x 83
Prime factors of 174 are 2 x 3 x 29
Prime factors of 142 are 2 x 71
The highest common occurrence is 21
Therefore, GCD of 238, 166, 174, 142 is 2.
Given numbers are 238, 166, 174, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(238, 166) = 19754
GCD(238, 166) = ( 238 x 166 ) / 19754
= 238 / 166
= 238
Step2:
LCM(2, 174) = 174
GCD(2, 174) = ( 2 x 174 ) / 174
= 2 / 174
= 2
Step3:
LCM(2, 142) = 142
GCD(2, 142) = ( 2 x 142 ) / 142
= 2 / 142
= 2
So, Greatest Common Divisor of 238, 166, 174, 142 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 238, 166, 174, 142
The greatest common divisor of numbers 238, 166, 174, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 166, 174, 142 is 2.
1. What is the GCD of 238, 166, 174, 142?
GCD of given numbers 238, 166, 174, 142 is 2
2. How to calculate the greatest common divisor of 238, 166, 174, 142?
We can find the highest common divisor of 238, 166, 174, 142 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 238, 166, 174, 142 i.e 2.
3. How can I use the GCD of 238, 166, 174, 142Calculator?
Out the numbers 238, 166, 174, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.