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 183, 714, 358, 237 i.e. 1 largest integer that divides all the numbers equally.
GCD of 183, 714, 358, 237 is 1
GCD(183, 714, 358, 237) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 183, 714, 358, 237 is 1
GCD(183, 714, 358, 237) = 1
Given Input numbers are 183, 714, 358, 237
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 183
List of positive integer divisors of 183 that divides 183 without a remainder.
1, 3, 61, 183
Divisors of 714
List of positive integer divisors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
Divisors of 237
List of positive integer divisors of 237 that divides 237 without a remainder.
1, 3, 79, 237
Greatest Common Divisior
We found the divisors of 183, 714, 358, 237 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 183, 714, 358, 237 is 1.
Therefore, GCD of numbers 183, 714, 358, 237 is 1
Given Input Data is 183, 714, 358, 237
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 183 is 3 x 61
Prime Factorization of 714 is 2 x 3 x 7 x 17
Prime Factorization of 358 is 2 x 179
Prime Factorization of 237 is 3 x 79
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(183, 714) = 43554
GCD(183, 714) = ( 183 x 714 ) / 43554
GCD(183, 714) = 130662 / 43554
GCD(183, 714) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 358
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 358) = 1074
GCD(3, 358) = ( 3 x 358 ) / 1074
GCD(3, 358) = 1074 / 1074
GCD(3, 358) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 237
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 237) = 237
GCD(1, 237) = ( 1 x 237 ) / 237
GCD(1, 237) = 237 / 237
GCD(1, 237) = 1
GCD of 183, 714, 358, 237 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 183, 714, 358, 237?
GCD of 183, 714, 358, 237 is 1
2. Where do I get the detailed procedure to find GCD of 183, 714, 358, 237?
You can find a detailed procedure to find GCD of 183, 714, 358, 237 on our page.
3. How to find GCD of 183, 714, 358, 237 on a calculator?
You can find the GCD of 183, 714, 358, 237 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.