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 743, 455, 71, 588 i.e. 1 largest integer that divides all the numbers equally.
GCD of 743, 455, 71, 588 is 1
GCD(743, 455, 71, 588) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 743, 455, 71, 588 is 1
GCD(743, 455, 71, 588) = 1
Given Input numbers are 743, 455, 71, 588
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Divisors of 455
List of positive integer divisors of 455 that divides 455 without a remainder.
1, 5, 7, 13, 35, 65, 91, 455
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Greatest Common Divisior
We found the divisors of 743, 455, 71, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 455, 71, 588 is 1.
Therefore, GCD of numbers 743, 455, 71, 588 is 1
Given Input Data is 743, 455, 71, 588
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 743 is 743
Prime Factorization of 455 is 5 x 7 x 13
Prime Factorization of 71 is 71
Prime Factorization of 588 is 2 x 2 x 3 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(743, 455) = 338065
GCD(743, 455) = ( 743 x 455 ) / 338065
GCD(743, 455) = 338065 / 338065
GCD(743, 455) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 71) = 71
GCD(1, 71) = ( 1 x 71 ) / 71
GCD(1, 71) = 71 / 71
GCD(1, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 588
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 588) = 588
GCD(1, 588) = ( 1 x 588 ) / 588
GCD(1, 588) = 588 / 588
GCD(1, 588) = 1
GCD of 743, 455, 71, 588 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 743, 455, 71, 588?
GCD of 743, 455, 71, 588 is 1
2. Where do I get the detailed procedure to find GCD of 743, 455, 71, 588?
You can find a detailed procedure to find GCD of 743, 455, 71, 588 on our page.
3. How to find GCD of 743, 455, 71, 588 on a calculator?
You can find the GCD of 743, 455, 71, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.