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 236, 154, 58 i.e. 2 largest integer that divides all the numbers equally.
GCD of 236, 154, 58 is 2
GCD(236, 154, 58) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 236, 154, 58 is 2
GCD(236, 154, 58) = 2
Given Input numbers are 236, 154, 58
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
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 236, 154, 58 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 236, 154, 58 is 2.
Therefore, GCD of numbers 236, 154, 58 is 2
Given Input Data is 236, 154, 58
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 236 is 2 x 2 x 59
Prime Factorization of 154 is 2 x 7 x 11
Prime Factorization of 58 is 2 x 29
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(236, 154) = 18172
GCD(236, 154) = ( 236 x 154 ) / 18172
GCD(236, 154) = 36344 / 18172
GCD(236, 154) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 58) = 58
GCD(2, 58) = ( 2 x 58 ) / 58
GCD(2, 58) = 116 / 58
GCD(2, 58) = 2
GCD of 236, 154, 58 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 236, 154, 58?
GCD of 236, 154, 58 is 2
2. Where do I get the detailed procedure to find GCD of 236, 154, 58?
You can find a detailed procedure to find GCD of 236, 154, 58 on our page.
3. How to find GCD of 236, 154, 58 on a calculator?
You can find the GCD of 236, 154, 58 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.