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 660, 402, 71, 570 i.e. 1 largest integer that divides all the numbers equally.
GCD of 660, 402, 71, 570 is 1
GCD(660, 402, 71, 570) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 660, 402, 71, 570 is 1
GCD(660, 402, 71, 570) = 1
Given Input numbers are 660, 402, 71, 570
To find the GCD of numbers using factoring list out all the divisors of each number
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 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 570
List of positive integer divisors of 570 that divides 570 without a remainder.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Greatest Common Divisior
We found the divisors of 660, 402, 71, 570 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 402, 71, 570 is 1.
Therefore, GCD of numbers 660, 402, 71, 570 is 1
Given Input Data is 660, 402, 71, 570
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 71 is 71
Prime Factorization of 570 is 2 x 3 x 5 x 19
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(660, 402) = 44220
GCD(660, 402) = ( 660 x 402 ) / 44220
GCD(660, 402) = 265320 / 44220
GCD(660, 402) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 71) = 426
GCD(6, 71) = ( 6 x 71 ) / 426
GCD(6, 71) = 426 / 426
GCD(6, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 570
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 570) = 570
GCD(1, 570) = ( 1 x 570 ) / 570
GCD(1, 570) = 570 / 570
GCD(1, 570) = 1
GCD of 660, 402, 71, 570 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 660, 402, 71, 570?
GCD of 660, 402, 71, 570 is 1
2. Where do I get the detailed procedure to find GCD of 660, 402, 71, 570?
You can find a detailed procedure to find GCD of 660, 402, 71, 570 on our page.
3. How to find GCD of 660, 402, 71, 570 on a calculator?
You can find the GCD of 660, 402, 71, 570 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.