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 529, 452, 506, 770 i.e. 1 largest integer that divides all the numbers equally.
GCD of 529, 452, 506, 770 is 1
GCD(529, 452, 506, 770) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 529, 452, 506, 770 is 1
GCD(529, 452, 506, 770) = 1
Given Input numbers are 529, 452, 506, 770
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 529
List of positive integer divisors of 529 that divides 529 without a remainder.
1, 23, 529
Divisors of 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Divisors of 506
List of positive integer divisors of 506 that divides 506 without a remainder.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Greatest Common Divisior
We found the divisors of 529, 452, 506, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 529, 452, 506, 770 is 1.
Therefore, GCD of numbers 529, 452, 506, 770 is 1
Given Input Data is 529, 452, 506, 770
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 529 is 23 x 23
Prime Factorization of 452 is 2 x 2 x 113
Prime Factorization of 506 is 2 x 11 x 23
Prime Factorization of 770 is 2 x 5 x 7 x 11
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(529, 452) = 239108
GCD(529, 452) = ( 529 x 452 ) / 239108
GCD(529, 452) = 239108 / 239108
GCD(529, 452) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 506
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 506) = 506
GCD(1, 506) = ( 1 x 506 ) / 506
GCD(1, 506) = 506 / 506
GCD(1, 506) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 770
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 770) = 770
GCD(1, 770) = ( 1 x 770 ) / 770
GCD(1, 770) = 770 / 770
GCD(1, 770) = 1
GCD of 529, 452, 506, 770 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 529, 452, 506, 770?
GCD of 529, 452, 506, 770 is 1
2. Where do I get the detailed procedure to find GCD of 529, 452, 506, 770?
You can find a detailed procedure to find GCD of 529, 452, 506, 770 on our page.
3. How to find GCD of 529, 452, 506, 770 on a calculator?
You can find the GCD of 529, 452, 506, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.