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 797, 898, 780, 920 i.e. 1 largest integer that divides all the numbers equally.
GCD of 797, 898, 780, 920 is 1
GCD(797, 898, 780, 920) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 797, 898, 780, 920 is 1
GCD(797, 898, 780, 920) = 1
Given Input numbers are 797, 898, 780, 920
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 797
List of positive integer divisors of 797 that divides 797 without a remainder.
1, 797
Divisors of 898
List of positive integer divisors of 898 that divides 898 without a remainder.
1, 2, 449, 898
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 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
Greatest Common Divisior
We found the divisors of 797, 898, 780, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 797, 898, 780, 920 is 1.
Therefore, GCD of numbers 797, 898, 780, 920 is 1
Given Input Data is 797, 898, 780, 920
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 797 is 797
Prime Factorization of 898 is 2 x 449
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
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(797, 898) = 715706
GCD(797, 898) = ( 797 x 898 ) / 715706
GCD(797, 898) = 715706 / 715706
GCD(797, 898) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 780
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 780) = 780
GCD(1, 780) = ( 1 x 780 ) / 780
GCD(1, 780) = 780 / 780
GCD(1, 780) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 920
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 920) = 920
GCD(1, 920) = ( 1 x 920 ) / 920
GCD(1, 920) = 920 / 920
GCD(1, 920) = 1
GCD of 797, 898, 780, 920 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 797, 898, 780, 920?
GCD of 797, 898, 780, 920 is 1
2. Where do I get the detailed procedure to find GCD of 797, 898, 780, 920?
You can find a detailed procedure to find GCD of 797, 898, 780, 920 on our page.
3. How to find GCD of 797, 898, 780, 920 on a calculator?
You can find the GCD of 797, 898, 780, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.