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 237, 416, 523, 920 i.e. 1 largest integer that divides all the numbers equally.
GCD of 237, 416, 523, 920 is 1
GCD(237, 416, 523, 920) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 237, 416, 523, 920 is 1
GCD(237, 416, 523, 920) = 1
Given Input numbers are 237, 416, 523, 920
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 237
List of positive integer divisors of 237 that divides 237 without a remainder.
1, 3, 79, 237
Divisors of 416
List of positive integer divisors of 416 that divides 416 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
Divisors of 523
List of positive integer divisors of 523 that divides 523 without a remainder.
1, 523
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Greatest Common Divisior
We found the divisors of 237, 416, 523, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 237, 416, 523, 920 is 1.
Therefore, GCD of numbers 237, 416, 523, 920 is 1
Given Input Data is 237, 416, 523, 920
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 237 is 3 x 79
Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 523 is 523
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
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(237, 416) = 98592
GCD(237, 416) = ( 237 x 416 ) / 98592
GCD(237, 416) = 98592 / 98592
GCD(237, 416) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 523
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 523) = 523
GCD(1, 523) = ( 1 x 523 ) / 523
GCD(1, 523) = 523 / 523
GCD(1, 523) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 920
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 920) = 920
GCD(1, 920) = ( 1 x 920 ) / 920
GCD(1, 920) = 920 / 920
GCD(1, 920) = 1
GCD of 237, 416, 523, 920 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 237, 416, 523, 920?
GCD of 237, 416, 523, 920 is 1
2. Where do I get the detailed procedure to find GCD of 237, 416, 523, 920?
You can find a detailed procedure to find GCD of 237, 416, 523, 920 on our page.
3. How to find GCD of 237, 416, 523, 920 on a calculator?
You can find the GCD of 237, 416, 523, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.