GCD of 168, 238, 252 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 168, 238, 252 quickly. Get the easiest ways to solve the greatest common divisor of 168, 238, 252 i.e 14 in different methods as follows.
Given Input numbers are 168, 238, 252
In the factoring method, we have to find the divisors of all numbers
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
GCD of numbers is the greatest common divisor
So, the GCD (168, 238, 252) = 14.
Given numbers are 168, 238, 252
The list of prime factors of all numbers are
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 238 are 2 x 7 x 17
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
The highest common occurrence is 21 x 71
Therefore, GCD of 168, 238, 252 is 14.
Steps to Calculate GCD of 168, 238, 252 using LCM Formula
Given numbers are 168, 238, 252
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(168, 238) = 2856
GCD(168, 238) = ( 168 x 238 ) / 2856
= 168 / 238
= 168
Step2:
LCM(14, 252) = 252
GCD(14, 252) = ( 14 x 252 ) / 252
= 14 / 252
= 14
So, Greatest Common Divisor of 168, 238, 252 is 14
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 168, 238, 252
Given numbers are 168, 238, 252
The greatest common divisor of numbers 168, 238, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 238, 252 is 14.
FAQs on GCD of 168, 238, 252 Calculator
1. What is the GCD of 168, 238, 252?
GCD of given numbers 168, 238, 252 is 14
2. How to calculate the greatest common divisor of 168, 238, 252?
We can find the highest common divisor of 168, 238, 252 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 168, 238, 252 i.e 14.
3. How can I use the GCD of 168, 238, 252Calculator?
Out the numbers 168, 238, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.