GCD of 238, 952, 986 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 238, 952, 986 quickly. Get the easiest ways to solve the greatest common divisor of 238, 952, 986 i.e 34 in different methods as follows.
Given Input numbers are 238, 952, 986
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 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 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
GCD of numbers is the greatest common divisor
So, the GCD (238, 952, 986) = 34.
Given numbers are 238, 952, 986
The list of prime factors of all numbers are
Prime factors of 238 are 2 x 7 x 17
Prime factors of 952 are 2 x 2 x 2 x 7 x 17
Prime factors of 986 are 2 x 17 x 29
The highest common occurrence is 171 x 21
Therefore, GCD of 238, 952, 986 is 34.
Steps to Calculate GCD of 238, 952, 986 using LCM Formula
Given numbers are 238, 952, 986
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(238, 952) = 952
GCD(238, 952) = ( 238 x 952 ) / 952
= 238 / 952
= 238
Step2:
LCM(238, 986) = 6902
GCD(238, 986) = ( 238 x 986 ) / 6902
= 238 / 986
= 238
So, Greatest Common Divisor of 238, 952, 986 is 34
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 238, 952, 986
Given numbers are 238, 952, 986
The greatest common divisor of numbers 238, 952, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 952, 986 is 34.
FAQs on GCD of 238, 952, 986 Calculator
1. What is the GCD of 238, 952, 986?
GCD of given numbers 238, 952, 986 is 34
2. How to calculate the greatest common divisor of 238, 952, 986?
We can find the highest common divisor of 238, 952, 986 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, 952, 986 i.e 34.
3. How can I use the GCD of 238, 952, 986Calculator?
Out the numbers 238, 952, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.