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 677, 825, 538, 537 i.e. 1 largest integer that divides all the numbers equally.
GCD of 677, 825, 538, 537 is 1
GCD(677, 825, 538, 537) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 677, 825, 538, 537 is 1
GCD(677, 825, 538, 537) = 1
Given Input numbers are 677, 825, 538, 537
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Divisors of 825
List of positive integer divisors of 825 that divides 825 without a remainder.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 538
List of positive integer divisors of 538 that divides 538 without a remainder.
1, 2, 269, 538
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Greatest Common Divisior
We found the divisors of 677, 825, 538, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 825, 538, 537 is 1.
Therefore, GCD of numbers 677, 825, 538, 537 is 1
Given Input Data is 677, 825, 538, 537
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 677 is 677
Prime Factorization of 825 is 3 x 5 x 5 x 11
Prime Factorization of 538 is 2 x 269
Prime Factorization of 537 is 3 x 179
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(677, 825) = 558525
GCD(677, 825) = ( 677 x 825 ) / 558525
GCD(677, 825) = 558525 / 558525
GCD(677, 825) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 538
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 538) = 538
GCD(1, 538) = ( 1 x 538 ) / 538
GCD(1, 538) = 538 / 538
GCD(1, 538) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 537
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 537) = 537
GCD(1, 537) = ( 1 x 537 ) / 537
GCD(1, 537) = 537 / 537
GCD(1, 537) = 1
GCD of 677, 825, 538, 537 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 677, 825, 538, 537?
GCD of 677, 825, 538, 537 is 1
2. Where do I get the detailed procedure to find GCD of 677, 825, 538, 537?
You can find a detailed procedure to find GCD of 677, 825, 538, 537 on our page.
3. How to find GCD of 677, 825, 538, 537 on a calculator?
You can find the GCD of 677, 825, 538, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.