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, 453, 940 i.e. 1 largest integer that divides all the numbers equally.
GCD of 402, 453, 940 is 1
GCD(402, 453, 940) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 402, 453, 940 is 1
GCD(402, 453, 940) = 1
Given Input numbers are 402, 453, 940
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 453
List of positive integer divisors of 453 that divides 453 without a remainder.
1, 3, 151, 453
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Greatest Common Divisior
We found the divisors of 402, 453, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 453, 940 is 1.
Therefore, GCD of numbers 402, 453, 940 is 1
Given Input Data is 402, 453, 940
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 453 is 3 x 151
Prime Factorization of 940 is 2 x 2 x 5 x 47
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, 453) = 60702
GCD(402, 453) = ( 402 x 453 ) / 60702
GCD(402, 453) = 182106 / 60702
GCD(402, 453) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 940
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 940) = 2820
GCD(3, 940) = ( 3 x 940 ) / 2820
GCD(3, 940) = 2820 / 2820
GCD(3, 940) = 1
GCD of 402, 453, 940 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 402, 453, 940?
GCD of 402, 453, 940 is 1
2. Where do I get the detailed procedure to find GCD of 402, 453, 940?
You can find a detailed procedure to find GCD of 402, 453, 940 on our page.
3. How to find GCD of 402, 453, 940 on a calculator?
You can find the GCD of 402, 453, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.