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, 660, 35, 407 i.e. 1 largest integer that divides all the numbers equally.
GCD of 572, 660, 35, 407 is 1
GCD(572, 660, 35, 407) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 572, 660, 35, 407 is 1
GCD(572, 660, 35, 407) = 1
Given Input numbers are 572, 660, 35, 407
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 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 407
List of positive integer divisors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Greatest Common Divisior
We found the divisors of 572, 660, 35, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 572, 660, 35, 407 is 1.
Therefore, GCD of numbers 572, 660, 35, 407 is 1
Given Input Data is 572, 660, 35, 407
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 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 35 is 5 x 7
Prime Factorization of 407 is 11 x 37
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, 660) = 8580
GCD(572, 660) = ( 572 x 660 ) / 8580
GCD(572, 660) = 377520 / 8580
GCD(572, 660) = 44
Step2:
Here we consider the GCD from the above i.e. 44 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(44, 35) = 1540
GCD(44, 35) = ( 44 x 35 ) / 1540
GCD(44, 35) = 1540 / 1540
GCD(44, 35) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 407
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 407) = 407
GCD(1, 407) = ( 1 x 407 ) / 407
GCD(1, 407) = 407 / 407
GCD(1, 407) = 1
GCD of 572, 660, 35, 407 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 572, 660, 35, 407?
GCD of 572, 660, 35, 407 is 1
2. Where do I get the detailed procedure to find GCD of 572, 660, 35, 407?
You can find a detailed procedure to find GCD of 572, 660, 35, 407 on our page.
3. How to find GCD of 572, 660, 35, 407 on a calculator?
You can find the GCD of 572, 660, 35, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.