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 739, 828, 23, 846 i.e. 1 largest integer that divides all the numbers equally.
GCD of 739, 828, 23, 846 is 1
GCD(739, 828, 23, 846) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 739, 828, 23, 846 is 1
GCD(739, 828, 23, 846) = 1
Given Input numbers are 739, 828, 23, 846
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 739
List of positive integer divisors of 739 that divides 739 without a remainder.
1, 739
Divisors of 828
List of positive integer divisors of 828 that divides 828 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 846
List of positive integer divisors of 846 that divides 846 without a remainder.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Greatest Common Divisior
We found the divisors of 739, 828, 23, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 739, 828, 23, 846 is 1.
Therefore, GCD of numbers 739, 828, 23, 846 is 1
Given Input Data is 739, 828, 23, 846
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 739 is 739
Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23
Prime Factorization of 23 is 23
Prime Factorization of 846 is 2 x 3 x 3 x 47
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(739, 828) = 611892
GCD(739, 828) = ( 739 x 828 ) / 611892
GCD(739, 828) = 611892 / 611892
GCD(739, 828) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 23) = 23
GCD(1, 23) = ( 1 x 23 ) / 23
GCD(1, 23) = 23 / 23
GCD(1, 23) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 846
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 846) = 846
GCD(1, 846) = ( 1 x 846 ) / 846
GCD(1, 846) = 846 / 846
GCD(1, 846) = 1
GCD of 739, 828, 23, 846 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 739, 828, 23, 846?
GCD of 739, 828, 23, 846 is 1
2. Where do I get the detailed procedure to find GCD of 739, 828, 23, 846?
You can find a detailed procedure to find GCD of 739, 828, 23, 846 on our page.
3. How to find GCD of 739, 828, 23, 846 on a calculator?
You can find the GCD of 739, 828, 23, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.