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 58, 421, 270, 237 i.e. 1 largest integer that divides all the numbers equally.
GCD of 58, 421, 270, 237 is 1
GCD(58, 421, 270, 237) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 58, 421, 270, 237 is 1
GCD(58, 421, 270, 237) = 1
Given Input numbers are 58, 421, 270, 237
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
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 58, 421, 270, 237 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 421, 270, 237 is 1.
Therefore, GCD of numbers 58, 421, 270, 237 is 1
Given Input Data is 58, 421, 270, 237
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 58 is 2 x 29
Prime Factorization of 421 is 421
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
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(58, 421) = 24418
GCD(58, 421) = ( 58 x 421 ) / 24418
GCD(58, 421) = 24418 / 24418
GCD(58, 421) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 270
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 270) = 270
GCD(1, 270) = ( 1 x 270 ) / 270
GCD(1, 270) = 270 / 270
GCD(1, 270) = 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 58, 421, 270, 237 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 58, 421, 270, 237?
GCD of 58, 421, 270, 237 is 1
2. Where do I get the detailed procedure to find GCD of 58, 421, 270, 237?
You can find a detailed procedure to find GCD of 58, 421, 270, 237 on our page.
3. How to find GCD of 58, 421, 270, 237 on a calculator?
You can find the GCD of 58, 421, 270, 237 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.