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, 351, 76, 169 i.e. 1 largest integer that divides all the numbers equally.
GCD of 787, 351, 76, 169 is 1
GCD(787, 351, 76, 169) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 787, 351, 76, 169 is 1
GCD(787, 351, 76, 169) = 1
Given Input numbers are 787, 351, 76, 169
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 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 169
List of positive integer divisors of 169 that divides 169 without a remainder.
1, 13, 169
Greatest Common Divisior
We found the divisors of 787, 351, 76, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 787, 351, 76, 169 is 1.
Therefore, GCD of numbers 787, 351, 76, 169 is 1
Given Input Data is 787, 351, 76, 169
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 787 is 787
Prime Factorization of 351 is 3 x 3 x 3 x 13
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 169 is 13 x 13
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, 351) = 276237
GCD(787, 351) = ( 787 x 351 ) / 276237
GCD(787, 351) = 276237 / 276237
GCD(787, 351) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 76) = 76
GCD(1, 76) = ( 1 x 76 ) / 76
GCD(1, 76) = 76 / 76
GCD(1, 76) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 169
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 169) = 169
GCD(1, 169) = ( 1 x 169 ) / 169
GCD(1, 169) = 169 / 169
GCD(1, 169) = 1
GCD of 787, 351, 76, 169 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 787, 351, 76, 169?
GCD of 787, 351, 76, 169 is 1
2. Where do I get the detailed procedure to find GCD of 787, 351, 76, 169?
You can find a detailed procedure to find GCD of 787, 351, 76, 169 on our page.
3. How to find GCD of 787, 351, 76, 169 on a calculator?
You can find the GCD of 787, 351, 76, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.