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 362, 688, 583, 242 i.e. 1 largest integer that divides all the numbers equally.
GCD of 362, 688, 583, 242 is 1
GCD(362, 688, 583, 242) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 362, 688, 583, 242 is 1
GCD(362, 688, 583, 242) = 1
Given Input numbers are 362, 688, 583, 242
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 583
List of positive integer divisors of 583 that divides 583 without a remainder.
1, 11, 53, 583
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Greatest Common Divisior
We found the divisors of 362, 688, 583, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 688, 583, 242 is 1.
Therefore, GCD of numbers 362, 688, 583, 242 is 1
Given Input Data is 362, 688, 583, 242
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 362 is 2 x 181
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 583 is 11 x 53
Prime Factorization of 242 is 2 x 11 x 11
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(362, 688) = 124528
GCD(362, 688) = ( 362 x 688 ) / 124528
GCD(362, 688) = 249056 / 124528
GCD(362, 688) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 583
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 583) = 1166
GCD(2, 583) = ( 2 x 583 ) / 1166
GCD(2, 583) = 1166 / 1166
GCD(2, 583) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 242
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 242) = 242
GCD(1, 242) = ( 1 x 242 ) / 242
GCD(1, 242) = 242 / 242
GCD(1, 242) = 1
GCD of 362, 688, 583, 242 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 362, 688, 583, 242?
GCD of 362, 688, 583, 242 is 1
2. Where do I get the detailed procedure to find GCD of 362, 688, 583, 242?
You can find a detailed procedure to find GCD of 362, 688, 583, 242 on our page.
3. How to find GCD of 362, 688, 583, 242 on a calculator?
You can find the GCD of 362, 688, 583, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.