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 723, 716, 69, 948 i.e. 1 largest integer that divides all the numbers equally.
GCD of 723, 716, 69, 948 is 1
GCD(723, 716, 69, 948) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 723, 716, 69, 948 is 1
GCD(723, 716, 69, 948) = 1
Given Input numbers are 723, 716, 69, 948
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 723
List of positive integer divisors of 723 that divides 723 without a remainder.
1, 3, 241, 723
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Greatest Common Divisior
We found the divisors of 723, 716, 69, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 716, 69, 948 is 1.
Therefore, GCD of numbers 723, 716, 69, 948 is 1
Given Input Data is 723, 716, 69, 948
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 723 is 3 x 241
Prime Factorization of 716 is 2 x 2 x 179
Prime Factorization of 69 is 3 x 23
Prime Factorization of 948 is 2 x 2 x 3 x 79
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(723, 716) = 517668
GCD(723, 716) = ( 723 x 716 ) / 517668
GCD(723, 716) = 517668 / 517668
GCD(723, 716) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 69) = 69
GCD(1, 69) = ( 1 x 69 ) / 69
GCD(1, 69) = 69 / 69
GCD(1, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 948
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 948) = 948
GCD(1, 948) = ( 1 x 948 ) / 948
GCD(1, 948) = 948 / 948
GCD(1, 948) = 1
GCD of 723, 716, 69, 948 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 723, 716, 69, 948?
GCD of 723, 716, 69, 948 is 1
2. Where do I get the detailed procedure to find GCD of 723, 716, 69, 948?
You can find a detailed procedure to find GCD of 723, 716, 69, 948 on our page.
3. How to find GCD of 723, 716, 69, 948 on a calculator?
You can find the GCD of 723, 716, 69, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.