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 628, 796, 53, 611 i.e. 1 largest integer that divides all the numbers equally.
GCD of 628, 796, 53, 611 is 1
GCD(628, 796, 53, 611) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 628, 796, 53, 611 is 1
GCD(628, 796, 53, 611) = 1
Given Input numbers are 628, 796, 53, 611
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
Divisors of 796
List of positive integer divisors of 796 that divides 796 without a remainder.
1, 2, 4, 199, 398, 796
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 611
List of positive integer divisors of 611 that divides 611 without a remainder.
1, 13, 47, 611
Greatest Common Divisior
We found the divisors of 628, 796, 53, 611 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 796, 53, 611 is 1.
Therefore, GCD of numbers 628, 796, 53, 611 is 1
Given Input Data is 628, 796, 53, 611
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 628 is 2 x 2 x 157
Prime Factorization of 796 is 2 x 2 x 199
Prime Factorization of 53 is 53
Prime Factorization of 611 is 13 x 47
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(628, 796) = 124972
GCD(628, 796) = ( 628 x 796 ) / 124972
GCD(628, 796) = 499888 / 124972
GCD(628, 796) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 53) = 212
GCD(4, 53) = ( 4 x 53 ) / 212
GCD(4, 53) = 212 / 212
GCD(4, 53) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 611
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 611) = 611
GCD(1, 611) = ( 1 x 611 ) / 611
GCD(1, 611) = 611 / 611
GCD(1, 611) = 1
GCD of 628, 796, 53, 611 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 628, 796, 53, 611?
GCD of 628, 796, 53, 611 is 1
2. Where do I get the detailed procedure to find GCD of 628, 796, 53, 611?
You can find a detailed procedure to find GCD of 628, 796, 53, 611 on our page.
3. How to find GCD of 628, 796, 53, 611 on a calculator?
You can find the GCD of 628, 796, 53, 611 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.