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 238, 186, 69, 425 i.e. 1 largest integer that divides all the numbers equally.
GCD of 238, 186, 69, 425 is 1
GCD(238, 186, 69, 425) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 238, 186, 69, 425 is 1
GCD(238, 186, 69, 425) = 1
Given Input numbers are 238, 186, 69, 425
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 186
List of positive integer divisors of 186 that divides 186 without a remainder.
1, 2, 3, 6, 31, 62, 93, 186
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Greatest Common Divisior
We found the divisors of 238, 186, 69, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 186, 69, 425 is 1.
Therefore, GCD of numbers 238, 186, 69, 425 is 1
Given Input Data is 238, 186, 69, 425
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 186 is 2 x 3 x 31
Prime Factorization of 69 is 3 x 23
Prime Factorization of 425 is 5 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
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(238, 186) = 22134
GCD(238, 186) = ( 238 x 186 ) / 22134
GCD(238, 186) = 44268 / 22134
GCD(238, 186) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 69) = 138
GCD(2, 69) = ( 2 x 69 ) / 138
GCD(2, 69) = 138 / 138
GCD(2, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 425
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 425) = 425
GCD(1, 425) = ( 1 x 425 ) / 425
GCD(1, 425) = 425 / 425
GCD(1, 425) = 1
GCD of 238, 186, 69, 425 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 238, 186, 69, 425?
GCD of 238, 186, 69, 425 is 1
2. Where do I get the detailed procedure to find GCD of 238, 186, 69, 425?
You can find a detailed procedure to find GCD of 238, 186, 69, 425 on our page.
3. How to find GCD of 238, 186, 69, 425 on a calculator?
You can find the GCD of 238, 186, 69, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.