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 872, 601, 698, 788 i.e. 1 largest integer that divides all the numbers equally.
GCD of 872, 601, 698, 788 is 1
GCD(872, 601, 698, 788) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 872, 601, 698, 788 is 1
GCD(872, 601, 698, 788) = 1
Given Input numbers are 872, 601, 698, 788
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 601
List of positive integer divisors of 601 that divides 601 without a remainder.
1, 601
Divisors of 698
List of positive integer divisors of 698 that divides 698 without a remainder.
1, 2, 349, 698
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Greatest Common Divisior
We found the divisors of 872, 601, 698, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 601, 698, 788 is 1.
Therefore, GCD of numbers 872, 601, 698, 788 is 1
Given Input Data is 872, 601, 698, 788
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 872 is 2 x 2 x 2 x 109
Prime Factorization of 601 is 601
Prime Factorization of 698 is 2 x 349
Prime Factorization of 788 is 2 x 2 x 197
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(872, 601) = 524072
GCD(872, 601) = ( 872 x 601 ) / 524072
GCD(872, 601) = 524072 / 524072
GCD(872, 601) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 698
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 698) = 698
GCD(1, 698) = ( 1 x 698 ) / 698
GCD(1, 698) = 698 / 698
GCD(1, 698) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 788
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 788) = 788
GCD(1, 788) = ( 1 x 788 ) / 788
GCD(1, 788) = 788 / 788
GCD(1, 788) = 1
GCD of 872, 601, 698, 788 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 872, 601, 698, 788?
GCD of 872, 601, 698, 788 is 1
2. Where do I get the detailed procedure to find GCD of 872, 601, 698, 788?
You can find a detailed procedure to find GCD of 872, 601, 698, 788 on our page.
3. How to find GCD of 872, 601, 698, 788 on a calculator?
You can find the GCD of 872, 601, 698, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.