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 545, 772, 692, 779 i.e. 1 largest integer that divides all the numbers equally.
GCD of 545, 772, 692, 779 is 1
GCD(545, 772, 692, 779) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 545, 772, 692, 779 is 1
GCD(545, 772, 692, 779) = 1
Given Input numbers are 545, 772, 692, 779
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 779
List of positive integer divisors of 779 that divides 779 without a remainder.
1, 19, 41, 779
Greatest Common Divisior
We found the divisors of 545, 772, 692, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 545, 772, 692, 779 is 1.
Therefore, GCD of numbers 545, 772, 692, 779 is 1
Given Input Data is 545, 772, 692, 779
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 545 is 5 x 109
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 779 is 19 x 41
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(545, 772) = 420740
GCD(545, 772) = ( 545 x 772 ) / 420740
GCD(545, 772) = 420740 / 420740
GCD(545, 772) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 692
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 692) = 692
GCD(1, 692) = ( 1 x 692 ) / 692
GCD(1, 692) = 692 / 692
GCD(1, 692) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 779
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 779) = 779
GCD(1, 779) = ( 1 x 779 ) / 779
GCD(1, 779) = 779 / 779
GCD(1, 779) = 1
GCD of 545, 772, 692, 779 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 545, 772, 692, 779?
GCD of 545, 772, 692, 779 is 1
2. Where do I get the detailed procedure to find GCD of 545, 772, 692, 779?
You can find a detailed procedure to find GCD of 545, 772, 692, 779 on our page.
3. How to find GCD of 545, 772, 692, 779 on a calculator?
You can find the GCD of 545, 772, 692, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.