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 780, 756, 91, 731 i.e. 1 largest integer that divides all the numbers equally.
GCD of 780, 756, 91, 731 is 1
GCD(780, 756, 91, 731) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 780, 756, 91, 731 is 1
GCD(780, 756, 91, 731) = 1
Given Input numbers are 780, 756, 91, 731
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 756
List of positive integer divisors of 756 that divides 756 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Greatest Common Divisior
We found the divisors of 780, 756, 91, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 756, 91, 731 is 1.
Therefore, GCD of numbers 780, 756, 91, 731 is 1
Given Input Data is 780, 756, 91, 731
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7
Prime Factorization of 91 is 7 x 13
Prime Factorization of 731 is 17 x 43
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(780, 756) = 49140
GCD(780, 756) = ( 780 x 756 ) / 49140
GCD(780, 756) = 589680 / 49140
GCD(780, 756) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 91) = 1092
GCD(12, 91) = ( 12 x 91 ) / 1092
GCD(12, 91) = 1092 / 1092
GCD(12, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 731
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 731) = 731
GCD(1, 731) = ( 1 x 731 ) / 731
GCD(1, 731) = 731 / 731
GCD(1, 731) = 1
GCD of 780, 756, 91, 731 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 780, 756, 91, 731?
GCD of 780, 756, 91, 731 is 1
2. Where do I get the detailed procedure to find GCD of 780, 756, 91, 731?
You can find a detailed procedure to find GCD of 780, 756, 91, 731 on our page.
3. How to find GCD of 780, 756, 91, 731 on a calculator?
You can find the GCD of 780, 756, 91, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.