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, 142, 500, 621 i.e. 1 largest integer that divides all the numbers equally.
GCD of 743, 142, 500, 621 is 1
GCD(743, 142, 500, 621) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 743, 142, 500, 621 is 1
GCD(743, 142, 500, 621) = 1
Given Input numbers are 743, 142, 500, 621
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 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 500
List of positive integer divisors of 500 that divides 500 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 621
List of positive integer divisors of 621 that divides 621 without a remainder.
1, 3, 9, 23, 27, 69, 207, 621
Greatest Common Divisior
We found the divisors of 743, 142, 500, 621 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 142, 500, 621 is 1.
Therefore, GCD of numbers 743, 142, 500, 621 is 1
Given Input Data is 743, 142, 500, 621
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 743 is 743
Prime Factorization of 142 is 2 x 71
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 621 is 3 x 3 x 3 x 23
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, 142) = 105506
GCD(743, 142) = ( 743 x 142 ) / 105506
GCD(743, 142) = 105506 / 105506
GCD(743, 142) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 500
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 500) = 500
GCD(1, 500) = ( 1 x 500 ) / 500
GCD(1, 500) = 500 / 500
GCD(1, 500) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 621
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 621) = 621
GCD(1, 621) = ( 1 x 621 ) / 621
GCD(1, 621) = 621 / 621
GCD(1, 621) = 1
GCD of 743, 142, 500, 621 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 743, 142, 500, 621?
GCD of 743, 142, 500, 621 is 1
2. Where do I get the detailed procedure to find GCD of 743, 142, 500, 621?
You can find a detailed procedure to find GCD of 743, 142, 500, 621 on our page.
3. How to find GCD of 743, 142, 500, 621 on a calculator?
You can find the GCD of 743, 142, 500, 621 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.