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 724, 158, 713, 750 i.e. 1 largest integer that divides all the numbers equally.
GCD of 724, 158, 713, 750 is 1
GCD(724, 158, 713, 750) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 724, 158, 713, 750 is 1
GCD(724, 158, 713, 750) = 1
Given Input numbers are 724, 158, 713, 750
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 158
List of positive integer divisors of 158 that divides 158 without a remainder.
1, 2, 79, 158
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Greatest Common Divisior
We found the divisors of 724, 158, 713, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 158, 713, 750 is 1.
Therefore, GCD of numbers 724, 158, 713, 750 is 1
Given Input Data is 724, 158, 713, 750
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 158 is 2 x 79
Prime Factorization of 713 is 23 x 31
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
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(724, 158) = 57196
GCD(724, 158) = ( 724 x 158 ) / 57196
GCD(724, 158) = 114392 / 57196
GCD(724, 158) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 713
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 713) = 1426
GCD(2, 713) = ( 2 x 713 ) / 1426
GCD(2, 713) = 1426 / 1426
GCD(2, 713) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 750
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 750) = 750
GCD(1, 750) = ( 1 x 750 ) / 750
GCD(1, 750) = 750 / 750
GCD(1, 750) = 1
GCD of 724, 158, 713, 750 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 724, 158, 713, 750?
GCD of 724, 158, 713, 750 is 1
2. Where do I get the detailed procedure to find GCD of 724, 158, 713, 750?
You can find a detailed procedure to find GCD of 724, 158, 713, 750 on our page.
3. How to find GCD of 724, 158, 713, 750 on a calculator?
You can find the GCD of 724, 158, 713, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.