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 40, 773, 662, 343 i.e. 1 largest integer that divides all the numbers equally.
GCD of 40, 773, 662, 343 is 1
GCD(40, 773, 662, 343) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 40, 773, 662, 343 is 1
GCD(40, 773, 662, 343) = 1
Given Input numbers are 40, 773, 662, 343
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 773
List of positive integer divisors of 773 that divides 773 without a remainder.
1, 773
Divisors of 662
List of positive integer divisors of 662 that divides 662 without a remainder.
1, 2, 331, 662
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Greatest Common Divisior
We found the divisors of 40, 773, 662, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 773, 662, 343 is 1.
Therefore, GCD of numbers 40, 773, 662, 343 is 1
Given Input Data is 40, 773, 662, 343
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 773 is 773
Prime Factorization of 662 is 2 x 331
Prime Factorization of 343 is 7 x 7 x 7
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(40, 773) = 30920
GCD(40, 773) = ( 40 x 773 ) / 30920
GCD(40, 773) = 30920 / 30920
GCD(40, 773) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 662
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 662) = 662
GCD(1, 662) = ( 1 x 662 ) / 662
GCD(1, 662) = 662 / 662
GCD(1, 662) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 343
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 343) = 343
GCD(1, 343) = ( 1 x 343 ) / 343
GCD(1, 343) = 343 / 343
GCD(1, 343) = 1
GCD of 40, 773, 662, 343 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 40, 773, 662, 343?
GCD of 40, 773, 662, 343 is 1
2. Where do I get the detailed procedure to find GCD of 40, 773, 662, 343?
You can find a detailed procedure to find GCD of 40, 773, 662, 343 on our page.
3. How to find GCD of 40, 773, 662, 343 on a calculator?
You can find the GCD of 40, 773, 662, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.