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 676, 955, 722, 644 i.e. 1 largest integer that divides all the numbers equally.
GCD of 676, 955, 722, 644 is 1
GCD(676, 955, 722, 644) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 676, 955, 722, 644 is 1
GCD(676, 955, 722, 644) = 1
Given Input numbers are 676, 955, 722, 644
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 955
List of positive integer divisors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Divisors of 722
List of positive integer divisors of 722 that divides 722 without a remainder.
1, 2, 19, 38, 361, 722
Divisors of 644
List of positive integer divisors of 644 that divides 644 without a remainder.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Greatest Common Divisior
We found the divisors of 676, 955, 722, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 955, 722, 644 is 1.
Therefore, GCD of numbers 676, 955, 722, 644 is 1
Given Input Data is 676, 955, 722, 644
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 955 is 5 x 191
Prime Factorization of 722 is 2 x 19 x 19
Prime Factorization of 644 is 2 x 2 x 7 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(676, 955) = 645580
GCD(676, 955) = ( 676 x 955 ) / 645580
GCD(676, 955) = 645580 / 645580
GCD(676, 955) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 722
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 722) = 722
GCD(1, 722) = ( 1 x 722 ) / 722
GCD(1, 722) = 722 / 722
GCD(1, 722) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 644
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 644) = 644
GCD(1, 644) = ( 1 x 644 ) / 644
GCD(1, 644) = 644 / 644
GCD(1, 644) = 1
GCD of 676, 955, 722, 644 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 676, 955, 722, 644?
GCD of 676, 955, 722, 644 is 1
2. Where do I get the detailed procedure to find GCD of 676, 955, 722, 644?
You can find a detailed procedure to find GCD of 676, 955, 722, 644 on our page.
3. How to find GCD of 676, 955, 722, 644 on a calculator?
You can find the GCD of 676, 955, 722, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.