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 787, 588, 525, 116 i.e. 1 largest integer that divides all the numbers equally.
GCD of 787, 588, 525, 116 is 1
GCD(787, 588, 525, 116) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 787, 588, 525, 116 is 1
GCD(787, 588, 525, 116) = 1
Given Input numbers are 787, 588, 525, 116
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 525
List of positive integer divisors of 525 that divides 525 without a remainder.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Greatest Common Divisior
We found the divisors of 787, 588, 525, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 787, 588, 525, 116 is 1.
Therefore, GCD of numbers 787, 588, 525, 116 is 1
Given Input Data is 787, 588, 525, 116
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 787 is 787
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
Prime Factorization of 525 is 3 x 5 x 5 x 7
Prime Factorization of 116 is 2 x 2 x 29
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(787, 588) = 462756
GCD(787, 588) = ( 787 x 588 ) / 462756
GCD(787, 588) = 462756 / 462756
GCD(787, 588) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 525
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 525) = 525
GCD(1, 525) = ( 1 x 525 ) / 525
GCD(1, 525) = 525 / 525
GCD(1, 525) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 116
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 116) = 116
GCD(1, 116) = ( 1 x 116 ) / 116
GCD(1, 116) = 116 / 116
GCD(1, 116) = 1
GCD of 787, 588, 525, 116 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 787, 588, 525, 116?
GCD of 787, 588, 525, 116 is 1
2. Where do I get the detailed procedure to find GCD of 787, 588, 525, 116?
You can find a detailed procedure to find GCD of 787, 588, 525, 116 on our page.
3. How to find GCD of 787, 588, 525, 116 on a calculator?
You can find the GCD of 787, 588, 525, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.