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 527, 824, 634, 820 i.e. 1 largest integer that divides all the numbers equally.
GCD of 527, 824, 634, 820 is 1
GCD(527, 824, 634, 820) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 527, 824, 634, 820 is 1
GCD(527, 824, 634, 820) = 1
Given Input numbers are 527, 824, 634, 820
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 527
List of positive integer divisors of 527 that divides 527 without a remainder.
1, 17, 31, 527
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 634
List of positive integer divisors of 634 that divides 634 without a remainder.
1, 2, 317, 634
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
Greatest Common Divisior
We found the divisors of 527, 824, 634, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 527, 824, 634, 820 is 1.
Therefore, GCD of numbers 527, 824, 634, 820 is 1
Given Input Data is 527, 824, 634, 820
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 527 is 17 x 31
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 634 is 2 x 317
Prime Factorization of 820 is 2 x 2 x 5 x 41
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(527, 824) = 434248
GCD(527, 824) = ( 527 x 824 ) / 434248
GCD(527, 824) = 434248 / 434248
GCD(527, 824) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 634
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 634) = 634
GCD(1, 634) = ( 1 x 634 ) / 634
GCD(1, 634) = 634 / 634
GCD(1, 634) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 820
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 820) = 820
GCD(1, 820) = ( 1 x 820 ) / 820
GCD(1, 820) = 820 / 820
GCD(1, 820) = 1
GCD of 527, 824, 634, 820 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 527, 824, 634, 820?
GCD of 527, 824, 634, 820 is 1
2. Where do I get the detailed procedure to find GCD of 527, 824, 634, 820?
You can find a detailed procedure to find GCD of 527, 824, 634, 820 on our page.
3. How to find GCD of 527, 824, 634, 820 on a calculator?
You can find the GCD of 527, 824, 634, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.