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 250, 534, 42, 723 i.e. 1 largest integer that divides all the numbers equally.
GCD of 250, 534, 42, 723 is 1
GCD(250, 534, 42, 723) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 250, 534, 42, 723 is 1
GCD(250, 534, 42, 723) = 1
Given Input numbers are 250, 534, 42, 723
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 250
List of positive integer divisors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 534
List of positive integer divisors of 534 that divides 534 without a remainder.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 723
List of positive integer divisors of 723 that divides 723 without a remainder.
1, 3, 241, 723
Greatest Common Divisior
We found the divisors of 250, 534, 42, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 534, 42, 723 is 1.
Therefore, GCD of numbers 250, 534, 42, 723 is 1
Given Input Data is 250, 534, 42, 723
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 250 is 2 x 5 x 5 x 5
Prime Factorization of 534 is 2 x 3 x 89
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 723 is 3 x 241
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(250, 534) = 66750
GCD(250, 534) = ( 250 x 534 ) / 66750
GCD(250, 534) = 133500 / 66750
GCD(250, 534) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 42) = 42
GCD(2, 42) = ( 2 x 42 ) / 42
GCD(2, 42) = 84 / 42
GCD(2, 42) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 723
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 723) = 1446
GCD(2, 723) = ( 2 x 723 ) / 1446
GCD(2, 723) = 1446 / 1446
GCD(2, 723) = 1
GCD of 250, 534, 42, 723 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 250, 534, 42, 723?
GCD of 250, 534, 42, 723 is 1
2. Where do I get the detailed procedure to find GCD of 250, 534, 42, 723?
You can find a detailed procedure to find GCD of 250, 534, 42, 723 on our page.
3. How to find GCD of 250, 534, 42, 723 on a calculator?
You can find the GCD of 250, 534, 42, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.