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 844, 620, 53, 417 i.e. 1 largest integer that divides all the numbers equally.
GCD of 844, 620, 53, 417 is 1
GCD(844, 620, 53, 417) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 844, 620, 53, 417 is 1
GCD(844, 620, 53, 417) = 1
Given Input numbers are 844, 620, 53, 417
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 844
List of positive integer divisors of 844 that divides 844 without a remainder.
1, 2, 4, 211, 422, 844
Divisors of 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 417
List of positive integer divisors of 417 that divides 417 without a remainder.
1, 3, 139, 417
Greatest Common Divisior
We found the divisors of 844, 620, 53, 417 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 844, 620, 53, 417 is 1.
Therefore, GCD of numbers 844, 620, 53, 417 is 1
Given Input Data is 844, 620, 53, 417
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 844 is 2 x 2 x 211
Prime Factorization of 620 is 2 x 2 x 5 x 31
Prime Factorization of 53 is 53
Prime Factorization of 417 is 3 x 139
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(844, 620) = 130820
GCD(844, 620) = ( 844 x 620 ) / 130820
GCD(844, 620) = 523280 / 130820
GCD(844, 620) = 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 417
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 417) = 417
GCD(1, 417) = ( 1 x 417 ) / 417
GCD(1, 417) = 417 / 417
GCD(1, 417) = 1
GCD of 844, 620, 53, 417 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 844, 620, 53, 417?
GCD of 844, 620, 53, 417 is 1
2. Where do I get the detailed procedure to find GCD of 844, 620, 53, 417?
You can find a detailed procedure to find GCD of 844, 620, 53, 417 on our page.
3. How to find GCD of 844, 620, 53, 417 on a calculator?
You can find the GCD of 844, 620, 53, 417 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.