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 680, 852, 531, 578 i.e. 1 largest integer that divides all the numbers equally.
GCD of 680, 852, 531, 578 is 1
GCD(680, 852, 531, 578) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 680, 852, 531, 578 is 1
GCD(680, 852, 531, 578) = 1
Given Input numbers are 680, 852, 531, 578
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Divisors of 578
List of positive integer divisors of 578 that divides 578 without a remainder.
1, 2, 17, 34, 289, 578
Greatest Common Divisior
We found the divisors of 680, 852, 531, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 852, 531, 578 is 1.
Therefore, GCD of numbers 680, 852, 531, 578 is 1
Given Input Data is 680, 852, 531, 578
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 531 is 3 x 3 x 59
Prime Factorization of 578 is 2 x 17 x 17
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(680, 852) = 144840
GCD(680, 852) = ( 680 x 852 ) / 144840
GCD(680, 852) = 579360 / 144840
GCD(680, 852) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 531
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 531) = 2124
GCD(4, 531) = ( 4 x 531 ) / 2124
GCD(4, 531) = 2124 / 2124
GCD(4, 531) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 578
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 578) = 578
GCD(1, 578) = ( 1 x 578 ) / 578
GCD(1, 578) = 578 / 578
GCD(1, 578) = 1
GCD of 680, 852, 531, 578 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 680, 852, 531, 578?
GCD of 680, 852, 531, 578 is 1
2. Where do I get the detailed procedure to find GCD of 680, 852, 531, 578?
You can find a detailed procedure to find GCD of 680, 852, 531, 578 on our page.
3. How to find GCD of 680, 852, 531, 578 on a calculator?
You can find the GCD of 680, 852, 531, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.