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 572, 680, 61, 649 i.e. 1 largest integer that divides all the numbers equally.
GCD of 572, 680, 61, 649 is 1
GCD(572, 680, 61, 649) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 572, 680, 61, 649 is 1
GCD(572, 680, 61, 649) = 1
Given Input numbers are 572, 680, 61, 649
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 572
List of positive integer divisors of 572 that divides 572 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
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 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Greatest Common Divisior
We found the divisors of 572, 680, 61, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 572, 680, 61, 649 is 1.
Therefore, GCD of numbers 572, 680, 61, 649 is 1
Given Input Data is 572, 680, 61, 649
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
Prime Factorization of 61 is 61
Prime Factorization of 649 is 11 x 59
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(572, 680) = 97240
GCD(572, 680) = ( 572 x 680 ) / 97240
GCD(572, 680) = 388960 / 97240
GCD(572, 680) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 61) = 244
GCD(4, 61) = ( 4 x 61 ) / 244
GCD(4, 61) = 244 / 244
GCD(4, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 649
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 649) = 649
GCD(1, 649) = ( 1 x 649 ) / 649
GCD(1, 649) = 649 / 649
GCD(1, 649) = 1
GCD of 572, 680, 61, 649 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 572, 680, 61, 649?
GCD of 572, 680, 61, 649 is 1
2. Where do I get the detailed procedure to find GCD of 572, 680, 61, 649?
You can find a detailed procedure to find GCD of 572, 680, 61, 649 on our page.
3. How to find GCD of 572, 680, 61, 649 on a calculator?
You can find the GCD of 572, 680, 61, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.