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 687, 874, 35, 581 i.e. 1 largest integer that divides all the numbers equally.
GCD of 687, 874, 35, 581 is 1
GCD(687, 874, 35, 581) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 687, 874, 35, 581 is 1
GCD(687, 874, 35, 581) = 1
Given Input numbers are 687, 874, 35, 581
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 581
List of positive integer divisors of 581 that divides 581 without a remainder.
1, 7, 83, 581
Greatest Common Divisior
We found the divisors of 687, 874, 35, 581 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 874, 35, 581 is 1.
Therefore, GCD of numbers 687, 874, 35, 581 is 1
Given Input Data is 687, 874, 35, 581
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 687 is 3 x 229
Prime Factorization of 874 is 2 x 19 x 23
Prime Factorization of 35 is 5 x 7
Prime Factorization of 581 is 7 x 83
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(687, 874) = 600438
GCD(687, 874) = ( 687 x 874 ) / 600438
GCD(687, 874) = 600438 / 600438
GCD(687, 874) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 35) = 35
GCD(1, 35) = ( 1 x 35 ) / 35
GCD(1, 35) = 35 / 35
GCD(1, 35) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 581
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 581) = 581
GCD(1, 581) = ( 1 x 581 ) / 581
GCD(1, 581) = 581 / 581
GCD(1, 581) = 1
GCD of 687, 874, 35, 581 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 687, 874, 35, 581?
GCD of 687, 874, 35, 581 is 1
2. Where do I get the detailed procedure to find GCD of 687, 874, 35, 581?
You can find a detailed procedure to find GCD of 687, 874, 35, 581 on our page.
3. How to find GCD of 687, 874, 35, 581 on a calculator?
You can find the GCD of 687, 874, 35, 581 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.