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 920, 729, 782, 746 i.e. 1 largest integer that divides all the numbers equally.
GCD of 920, 729, 782, 746 is 1
GCD(920, 729, 782, 746) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 920, 729, 782, 746 is 1
GCD(920, 729, 782, 746) = 1
Given Input numbers are 920, 729, 782, 746
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Divisors of 782
List of positive integer divisors of 782 that divides 782 without a remainder.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Greatest Common Divisior
We found the divisors of 920, 729, 782, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 729, 782, 746 is 1.
Therefore, GCD of numbers 920, 729, 782, 746 is 1
Given Input Data is 920, 729, 782, 746
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 782 is 2 x 17 x 23
Prime Factorization of 746 is 2 x 373
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(920, 729) = 670680
GCD(920, 729) = ( 920 x 729 ) / 670680
GCD(920, 729) = 670680 / 670680
GCD(920, 729) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 782
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 782) = 782
GCD(1, 782) = ( 1 x 782 ) / 782
GCD(1, 782) = 782 / 782
GCD(1, 782) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 746
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 746) = 746
GCD(1, 746) = ( 1 x 746 ) / 746
GCD(1, 746) = 746 / 746
GCD(1, 746) = 1
GCD of 920, 729, 782, 746 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 920, 729, 782, 746?
GCD of 920, 729, 782, 746 is 1
2. Where do I get the detailed procedure to find GCD of 920, 729, 782, 746?
You can find a detailed procedure to find GCD of 920, 729, 782, 746 on our page.
3. How to find GCD of 920, 729, 782, 746 on a calculator?
You can find the GCD of 920, 729, 782, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.