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 632, 820, 237, 507 i.e. 1 largest integer that divides all the numbers equally.
GCD of 632, 820, 237, 507 is 1
GCD(632, 820, 237, 507) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 632, 820, 237, 507 is 1
GCD(632, 820, 237, 507) = 1
Given Input numbers are 632, 820, 237, 507
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 632
List of positive integer divisors of 632 that divides 632 without a remainder.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 237
List of positive integer divisors of 237 that divides 237 without a remainder.
1, 3, 79, 237
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Greatest Common Divisior
We found the divisors of 632, 820, 237, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 632, 820, 237, 507 is 1.
Therefore, GCD of numbers 632, 820, 237, 507 is 1
Given Input Data is 632, 820, 237, 507
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 632 is 2 x 2 x 2 x 79
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 237 is 3 x 79
Prime Factorization of 507 is 3 x 13 x 13
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(632, 820) = 129560
GCD(632, 820) = ( 632 x 820 ) / 129560
GCD(632, 820) = 518240 / 129560
GCD(632, 820) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 237
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 237) = 948
GCD(4, 237) = ( 4 x 237 ) / 948
GCD(4, 237) = 948 / 948
GCD(4, 237) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 507
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 507) = 507
GCD(1, 507) = ( 1 x 507 ) / 507
GCD(1, 507) = 507 / 507
GCD(1, 507) = 1
GCD of 632, 820, 237, 507 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 632, 820, 237, 507?
GCD of 632, 820, 237, 507 is 1
2. Where do I get the detailed procedure to find GCD of 632, 820, 237, 507?
You can find a detailed procedure to find GCD of 632, 820, 237, 507 on our page.
3. How to find GCD of 632, 820, 237, 507 on a calculator?
You can find the GCD of 632, 820, 237, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.