GCD of 123, 538, 58 Calculator
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 123, 538, 58 i.e. 1 largest integer that divides all the numbers equally.
GCD of 123, 538, 58 is 1
GCD(123, 538, 58) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 123, 538, 58 is 1
GCD(123, 538, 58) = 1
GCDof 123,538,58 is 1
Given Input numbers are 123, 538, 58
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Divisors of 538
List of positive integer divisors of 538 that divides 538 without a remainder.
1, 2, 269, 538
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Greatest Common Divisior
We found the divisors of 123, 538, 58 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 538, 58 is 1.
Therefore, GCD of numbers 123, 538, 58 is 1
Given Input Data is 123, 538, 58
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 123 is 3 x 41
Prime Factorization of 538 is 2 x 269
Prime Factorization of 58 is 2 x 29
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 123, 538, 58 using LCM Formula
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(123, 538) = 66174
GCD(123, 538) = ( 123 x 538 ) / 66174
GCD(123, 538) = 66174 / 66174
GCD(123, 538) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 58) = 58
GCD(1, 58) = ( 1 x 58 ) / 58
GCD(1, 58) = 58 / 58
GCD(1, 58) = 1
GCD of 123, 538, 58 is 1
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FAQs on GCD of numbers 123, 538, 58
1. What is the GCD of 123, 538, 58?
GCD of 123, 538, 58 is 1
2. Where do I get the detailed procedure to find GCD of 123, 538, 58?
You can find a detailed procedure to find GCD of 123, 538, 58 on our page.
3. How to find GCD of 123, 538, 58 on a calculator?
You can find the GCD of 123, 538, 58 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.