GCD of 238, 111, 138, 302 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 238, 111, 138, 302 quickly. Get the easiest ways to solve the greatest common divisor of 238, 111, 138, 302 i.e 1 in different methods as follows.
Given Input numbers are 238, 111, 138, 302
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 111 :
The positive integer divisors of 111 that completely divides 111 are.
1, 3, 37, 111
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 302 :
The positive integer divisors of 302 that completely divides 302 are.
1, 2, 151, 302
GCD of numbers is the greatest common divisor
So, the GCD (238, 111, 138, 302) = 1.
Given numbers are 238, 111, 138, 302
The list of prime factors of all numbers are
Prime factors of 238 are 2 x 7 x 17
Prime factors of 111 are 3 x 37
Prime factors of 138 are 2 x 3 x 23
Prime factors of 302 are 2 x 151
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 238, 111, 138, 302 using LCM Formula
Given numbers are 238, 111, 138, 302
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(238, 111) = 26418
GCD(238, 111) = ( 238 x 111 ) / 26418
= 238 / 111
= 238
Step2:
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
= 1 / 138
= 1
Step3:
LCM(1, 302) = 302
GCD(1, 302) = ( 1 x 302 ) / 302
= 1 / 302
= 1
So, Greatest Common Divisor of 238, 111, 138, 302 is 1
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 238, 111, 138, 302
Given numbers are 238, 111, 138, 302
The greatest common divisor of numbers 238, 111, 138, 302 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 111, 138, 302 is 1.
FAQs on GCD of 238, 111, 138, 302 Calculator
1. What is the GCD of 238, 111, 138, 302?
GCD of given numbers 238, 111, 138, 302 is 1
2. How to calculate the greatest common divisor of 238, 111, 138, 302?
We can find the highest common divisor of 238, 111, 138, 302 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, 111, 138, 302 i.e 1.
3. How can I use the GCD of 238, 111, 138, 302Calculator?
Out the numbers 238, 111, 138, 302 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.