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, 975, 68, 901 i.e. 1 largest integer that divides all the numbers equally.
GCD of 696, 975, 68, 901 is 1
GCD(696, 975, 68, 901) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 696, 975, 68, 901 is 1
GCD(696, 975, 68, 901) = 1
Given Input numbers are 696, 975, 68, 901
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 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Greatest Common Divisior
We found the divisors of 696, 975, 68, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 975, 68, 901 is 1.
Therefore, GCD of numbers 696, 975, 68, 901 is 1
Given Input Data is 696, 975, 68, 901
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 975 is 3 x 5 x 5 x 13
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 901 is 17 x 53
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, 975) = 226200
GCD(696, 975) = ( 696 x 975 ) / 226200
GCD(696, 975) = 678600 / 226200
GCD(696, 975) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 68) = 204
GCD(3, 68) = ( 3 x 68 ) / 204
GCD(3, 68) = 204 / 204
GCD(3, 68) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 901
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 901) = 901
GCD(1, 901) = ( 1 x 901 ) / 901
GCD(1, 901) = 901 / 901
GCD(1, 901) = 1
GCD of 696, 975, 68, 901 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 696, 975, 68, 901?
GCD of 696, 975, 68, 901 is 1
2. Where do I get the detailed procedure to find GCD of 696, 975, 68, 901?
You can find a detailed procedure to find GCD of 696, 975, 68, 901 on our page.
3. How to find GCD of 696, 975, 68, 901 on a calculator?
You can find the GCD of 696, 975, 68, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.