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, 484, 61, 658 i.e. 1 largest integer that divides all the numbers equally.
GCD of 238, 484, 61, 658 is 1
GCD(238, 484, 61, 658) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 238, 484, 61, 658 is 1
GCD(238, 484, 61, 658) = 1
Given Input numbers are 238, 484, 61, 658
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 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Greatest Common Divisior
We found the divisors of 238, 484, 61, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 484, 61, 658 is 1.
Therefore, GCD of numbers 238, 484, 61, 658 is 1
Given Input Data is 238, 484, 61, 658
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 484 is 2 x 2 x 11 x 11
Prime Factorization of 61 is 61
Prime Factorization of 658 is 2 x 7 x 47
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, 484) = 57596
GCD(238, 484) = ( 238 x 484 ) / 57596
GCD(238, 484) = 115192 / 57596
GCD(238, 484) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 61) = 122
GCD(2, 61) = ( 2 x 61 ) / 122
GCD(2, 61) = 122 / 122
GCD(2, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 658
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 658) = 658
GCD(1, 658) = ( 1 x 658 ) / 658
GCD(1, 658) = 658 / 658
GCD(1, 658) = 1
GCD of 238, 484, 61, 658 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 238, 484, 61, 658?
GCD of 238, 484, 61, 658 is 1
2. Where do I get the detailed procedure to find GCD of 238, 484, 61, 658?
You can find a detailed procedure to find GCD of 238, 484, 61, 658 on our page.
3. How to find GCD of 238, 484, 61, 658 on a calculator?
You can find the GCD of 238, 484, 61, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.