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 788, 830, 537, 653 i.e. 1 largest integer that divides all the numbers equally.
GCD of 788, 830, 537, 653 is 1
GCD(788, 830, 537, 653) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 788, 830, 537, 653 is 1
GCD(788, 830, 537, 653) = 1
Given Input numbers are 788, 830, 537, 653
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Divisors of 830
List of positive integer divisors of 830 that divides 830 without a remainder.
1, 2, 5, 10, 83, 166, 415, 830
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Divisors of 653
List of positive integer divisors of 653 that divides 653 without a remainder.
1, 653
Greatest Common Divisior
We found the divisors of 788, 830, 537, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 830, 537, 653 is 1.
Therefore, GCD of numbers 788, 830, 537, 653 is 1
Given Input Data is 788, 830, 537, 653
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 788 is 2 x 2 x 197
Prime Factorization of 830 is 2 x 5 x 83
Prime Factorization of 537 is 3 x 179
Prime Factorization of 653 is 653
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(788, 830) = 327020
GCD(788, 830) = ( 788 x 830 ) / 327020
GCD(788, 830) = 654040 / 327020
GCD(788, 830) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 537
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 537) = 1074
GCD(2, 537) = ( 2 x 537 ) / 1074
GCD(2, 537) = 1074 / 1074
GCD(2, 537) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 653
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 653) = 653
GCD(1, 653) = ( 1 x 653 ) / 653
GCD(1, 653) = 653 / 653
GCD(1, 653) = 1
GCD of 788, 830, 537, 653 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 788, 830, 537, 653?
GCD of 788, 830, 537, 653 is 1
2. Where do I get the detailed procedure to find GCD of 788, 830, 537, 653?
You can find a detailed procedure to find GCD of 788, 830, 537, 653 on our page.
3. How to find GCD of 788, 830, 537, 653 on a calculator?
You can find the GCD of 788, 830, 537, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.