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 771, 523, 652, 678 i.e. 1 largest integer that divides all the numbers equally.
GCD of 771, 523, 652, 678 is 1
GCD(771, 523, 652, 678) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 771, 523, 652, 678 is 1
GCD(771, 523, 652, 678) = 1
Given Input numbers are 771, 523, 652, 678
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Divisors of 523
List of positive integer divisors of 523 that divides 523 without a remainder.
1, 523
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Divisors of 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
Greatest Common Divisior
We found the divisors of 771, 523, 652, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 771, 523, 652, 678 is 1.
Therefore, GCD of numbers 771, 523, 652, 678 is 1
Given Input Data is 771, 523, 652, 678
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 771 is 3 x 257
Prime Factorization of 523 is 523
Prime Factorization of 652 is 2 x 2 x 163
Prime Factorization of 678 is 2 x 3 x 113
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(771, 523) = 403233
GCD(771, 523) = ( 771 x 523 ) / 403233
GCD(771, 523) = 403233 / 403233
GCD(771, 523) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 652
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 652) = 652
GCD(1, 652) = ( 1 x 652 ) / 652
GCD(1, 652) = 652 / 652
GCD(1, 652) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 678
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 678) = 678
GCD(1, 678) = ( 1 x 678 ) / 678
GCD(1, 678) = 678 / 678
GCD(1, 678) = 1
GCD of 771, 523, 652, 678 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 771, 523, 652, 678?
GCD of 771, 523, 652, 678 is 1
2. Where do I get the detailed procedure to find GCD of 771, 523, 652, 678?
You can find a detailed procedure to find GCD of 771, 523, 652, 678 on our page.
3. How to find GCD of 771, 523, 652, 678 on a calculator?
You can find the GCD of 771, 523, 652, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.