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, 604, 877, 208 i.e. 1 largest integer that divides all the numbers equally.
GCD of 676, 604, 877, 208 is 1
GCD(676, 604, 877, 208) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 676, 604, 877, 208 is 1
GCD(676, 604, 877, 208) = 1
Given Input numbers are 676, 604, 877, 208
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 604
List of positive integer divisors of 604 that divides 604 without a remainder.
1, 2, 4, 151, 302, 604
Divisors of 877
List of positive integer divisors of 877 that divides 877 without a remainder.
1, 877
Divisors of 208
List of positive integer divisors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Greatest Common Divisior
We found the divisors of 676, 604, 877, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 604, 877, 208 is 1.
Therefore, GCD of numbers 676, 604, 877, 208 is 1
Given Input Data is 676, 604, 877, 208
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 604 is 2 x 2 x 151
Prime Factorization of 877 is 877
Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13
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, 604) = 102076
GCD(676, 604) = ( 676 x 604 ) / 102076
GCD(676, 604) = 408304 / 102076
GCD(676, 604) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 877
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 877) = 3508
GCD(4, 877) = ( 4 x 877 ) / 3508
GCD(4, 877) = 3508 / 3508
GCD(4, 877) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 208
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 208) = 208
GCD(1, 208) = ( 1 x 208 ) / 208
GCD(1, 208) = 208 / 208
GCD(1, 208) = 1
GCD of 676, 604, 877, 208 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 676, 604, 877, 208?
GCD of 676, 604, 877, 208 is 1
2. Where do I get the detailed procedure to find GCD of 676, 604, 877, 208?
You can find a detailed procedure to find GCD of 676, 604, 877, 208 on our page.
3. How to find GCD of 676, 604, 877, 208 on a calculator?
You can find the GCD of 676, 604, 877, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.