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 746, 617, 440, 493 i.e. 1 largest integer that divides all the numbers equally.
GCD of 746, 617, 440, 493 is 1
GCD(746, 617, 440, 493) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 746, 617, 440, 493 is 1
GCD(746, 617, 440, 493) = 1
Given Input numbers are 746, 617, 440, 493
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Divisors of 617
List of positive integer divisors of 617 that divides 617 without a remainder.
1, 617
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 493
List of positive integer divisors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Greatest Common Divisior
We found the divisors of 746, 617, 440, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 617, 440, 493 is 1.
Therefore, GCD of numbers 746, 617, 440, 493 is 1
Given Input Data is 746, 617, 440, 493
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 746 is 2 x 373
Prime Factorization of 617 is 617
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
Prime Factorization of 493 is 17 x 29
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(746, 617) = 460282
GCD(746, 617) = ( 746 x 617 ) / 460282
GCD(746, 617) = 460282 / 460282
GCD(746, 617) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 440
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 440) = 440
GCD(1, 440) = ( 1 x 440 ) / 440
GCD(1, 440) = 440 / 440
GCD(1, 440) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 493
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 493) = 493
GCD(1, 493) = ( 1 x 493 ) / 493
GCD(1, 493) = 493 / 493
GCD(1, 493) = 1
GCD of 746, 617, 440, 493 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 746, 617, 440, 493?
GCD of 746, 617, 440, 493 is 1
2. Where do I get the detailed procedure to find GCD of 746, 617, 440, 493?
You can find a detailed procedure to find GCD of 746, 617, 440, 493 on our page.
3. How to find GCD of 746, 617, 440, 493 on a calculator?
You can find the GCD of 746, 617, 440, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.