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 696, 987, 39, 874 i.e. 1 largest integer that divides all the numbers equally.
GCD of 696, 987, 39, 874 is 1
GCD(696, 987, 39, 874) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 696, 987, 39, 874 is 1
GCD(696, 987, 39, 874) = 1
Given Input numbers are 696, 987, 39, 874
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Greatest Common Divisior
We found the divisors of 696, 987, 39, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 987, 39, 874 is 1.
Therefore, GCD of numbers 696, 987, 39, 874 is 1
Given Input Data is 696, 987, 39, 874
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 987 is 3 x 7 x 47
Prime Factorization of 39 is 3 x 13
Prime Factorization of 874 is 2 x 19 x 23
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(696, 987) = 228984
GCD(696, 987) = ( 696 x 987 ) / 228984
GCD(696, 987) = 686952 / 228984
GCD(696, 987) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 39) = 39
GCD(3, 39) = ( 3 x 39 ) / 39
GCD(3, 39) = 117 / 39
GCD(3, 39) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 874
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 874) = 2622
GCD(3, 874) = ( 3 x 874 ) / 2622
GCD(3, 874) = 2622 / 2622
GCD(3, 874) = 1
GCD of 696, 987, 39, 874 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 696, 987, 39, 874?
GCD of 696, 987, 39, 874 is 1
2. Where do I get the detailed procedure to find GCD of 696, 987, 39, 874?
You can find a detailed procedure to find GCD of 696, 987, 39, 874 on our page.
3. How to find GCD of 696, 987, 39, 874 on a calculator?
You can find the GCD of 696, 987, 39, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.