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 52, 658, 849, 621 i.e. 1 largest integer that divides all the numbers equally.
GCD of 52, 658, 849, 621 is 1
GCD(52, 658, 849, 621) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 52, 658, 849, 621 is 1
GCD(52, 658, 849, 621) = 1
Given Input numbers are 52, 658, 849, 621
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Divisors of 621
List of positive integer divisors of 621 that divides 621 without a remainder.
1, 3, 9, 23, 27, 69, 207, 621
Greatest Common Divisior
We found the divisors of 52, 658, 849, 621 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 658, 849, 621 is 1.
Therefore, GCD of numbers 52, 658, 849, 621 is 1
Given Input Data is 52, 658, 849, 621
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 658 is 2 x 7 x 47
Prime Factorization of 849 is 3 x 283
Prime Factorization of 621 is 3 x 3 x 3 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(52, 658) = 17108
GCD(52, 658) = ( 52 x 658 ) / 17108
GCD(52, 658) = 34216 / 17108
GCD(52, 658) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 849
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 849) = 1698
GCD(2, 849) = ( 2 x 849 ) / 1698
GCD(2, 849) = 1698 / 1698
GCD(2, 849) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 621
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 621) = 621
GCD(1, 621) = ( 1 x 621 ) / 621
GCD(1, 621) = 621 / 621
GCD(1, 621) = 1
GCD of 52, 658, 849, 621 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 52, 658, 849, 621?
GCD of 52, 658, 849, 621 is 1
2. Where do I get the detailed procedure to find GCD of 52, 658, 849, 621?
You can find a detailed procedure to find GCD of 52, 658, 849, 621 on our page.
3. How to find GCD of 52, 658, 849, 621 on a calculator?
You can find the GCD of 52, 658, 849, 621 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.