GCD of 816, 952, 238 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 816, 952, 238 quickly. Get the easiest ways to solve the greatest common divisor of 816, 952, 238 i.e 34 in different methods as follows.
Given Input numbers are 816, 952, 238
In the factoring method, we have to find the divisors of all numbers
Divisors of 816 :
The positive integer divisors of 816 that completely divides 816 are.
1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
Divisors of 952 :
The positive integer divisors of 952 that completely divides 952 are.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
GCD of numbers is the greatest common divisor
So, the GCD (816, 952, 238) = 34.
Given numbers are 816, 952, 238
The list of prime factors of all numbers are
Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17
Prime factors of 952 are 2 x 2 x 2 x 7 x 17
Prime factors of 238 are 2 x 7 x 17
The highest common occurrence is 171 x 21
Therefore, GCD of 816, 952, 238 is 34.
Steps to Calculate GCD of 816, 952, 238 using LCM Formula
Given numbers are 816, 952, 238
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(816, 952) = 5712
GCD(816, 952) = ( 816 x 952 ) / 5712
= 816 / 952
= 816
Step2:
LCM(136, 238) = 952
GCD(136, 238) = ( 136 x 238 ) / 952
= 136 / 238
= 136
So, Greatest Common Divisor of 816, 952, 238 is 34
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 816, 952, 238
Given numbers are 816, 952, 238
The greatest common divisor of numbers 816, 952, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 952, 238 is 34.
FAQs on GCD of 816, 952, 238 Calculator
1. What is the GCD of 816, 952, 238?
GCD of given numbers 816, 952, 238 is 34
2. How to calculate the greatest common divisor of 816, 952, 238?
We can find the highest common divisor of 816, 952, 238 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 816, 952, 238 i.e 34.
3. How can I use the GCD of 816, 952, 238Calculator?
Out the numbers 816, 952, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.