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 402, 662, 113, 566 i.e. 1 largest integer that divides all the numbers equally.
GCD of 402, 662, 113, 566 is 1
GCD(402, 662, 113, 566) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 402, 662, 113, 566 is 1
GCD(402, 662, 113, 566) = 1
Given Input numbers are 402, 662, 113, 566
To find the GCD of numbers using factoring list out all the divisors of each number
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 662
List of positive integer divisors of 662 that divides 662 without a remainder.
1, 2, 331, 662
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Divisors of 566
List of positive integer divisors of 566 that divides 566 without a remainder.
1, 2, 283, 566
Greatest Common Divisior
We found the divisors of 402, 662, 113, 566 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 662, 113, 566 is 1.
Therefore, GCD of numbers 402, 662, 113, 566 is 1
Given Input Data is 402, 662, 113, 566
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 662 is 2 x 331
Prime Factorization of 113 is 113
Prime Factorization of 566 is 2 x 283
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(402, 662) = 133062
GCD(402, 662) = ( 402 x 662 ) / 133062
GCD(402, 662) = 266124 / 133062
GCD(402, 662) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 113
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 113) = 226
GCD(2, 113) = ( 2 x 113 ) / 226
GCD(2, 113) = 226 / 226
GCD(2, 113) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 566
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 566) = 566
GCD(1, 566) = ( 1 x 566 ) / 566
GCD(1, 566) = 566 / 566
GCD(1, 566) = 1
GCD of 402, 662, 113, 566 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 402, 662, 113, 566?
GCD of 402, 662, 113, 566 is 1
2. Where do I get the detailed procedure to find GCD of 402, 662, 113, 566?
You can find a detailed procedure to find GCD of 402, 662, 113, 566 on our page.
3. How to find GCD of 402, 662, 113, 566 on a calculator?
You can find the GCD of 402, 662, 113, 566 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.