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, 360, 55, 721 i.e. 1 largest integer that divides all the numbers equally.
GCD of 676, 360, 55, 721 is 1
GCD(676, 360, 55, 721) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 676, 360, 55, 721 is 1
GCD(676, 360, 55, 721) = 1
Given Input numbers are 676, 360, 55, 721
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 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Greatest Common Divisior
We found the divisors of 676, 360, 55, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 360, 55, 721 is 1.
Therefore, GCD of numbers 676, 360, 55, 721 is 1
Given Input Data is 676, 360, 55, 721
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 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 55 is 5 x 11
Prime Factorization of 721 is 7 x 103
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, 360) = 60840
GCD(676, 360) = ( 676 x 360 ) / 60840
GCD(676, 360) = 243360 / 60840
GCD(676, 360) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 55) = 220
GCD(4, 55) = ( 4 x 55 ) / 220
GCD(4, 55) = 220 / 220
GCD(4, 55) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 721
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 721) = 721
GCD(1, 721) = ( 1 x 721 ) / 721
GCD(1, 721) = 721 / 721
GCD(1, 721) = 1
GCD of 676, 360, 55, 721 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 676, 360, 55, 721?
GCD of 676, 360, 55, 721 is 1
2. Where do I get the detailed procedure to find GCD of 676, 360, 55, 721?
You can find a detailed procedure to find GCD of 676, 360, 55, 721 on our page.
3. How to find GCD of 676, 360, 55, 721 on a calculator?
You can find the GCD of 676, 360, 55, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.