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 975, 659, 983, 355 i.e. 1 largest integer that divides all the numbers equally.
GCD of 975, 659, 983, 355 is 1
GCD(975, 659, 983, 355) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 975, 659, 983, 355 is 1
GCD(975, 659, 983, 355) = 1
Given Input numbers are 975, 659, 983, 355
To find the GCD of numbers using factoring list out all the divisors of each number
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 659
List of positive integer divisors of 659 that divides 659 without a remainder.
1, 659
Divisors of 983
List of positive integer divisors of 983 that divides 983 without a remainder.
1, 983
Divisors of 355
List of positive integer divisors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Greatest Common Divisior
We found the divisors of 975, 659, 983, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 659, 983, 355 is 1.
Therefore, GCD of numbers 975, 659, 983, 355 is 1
Given Input Data is 975, 659, 983, 355
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 975 is 3 x 5 x 5 x 13
Prime Factorization of 659 is 659
Prime Factorization of 983 is 983
Prime Factorization of 355 is 5 x 71
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(975, 659) = 642525
GCD(975, 659) = ( 975 x 659 ) / 642525
GCD(975, 659) = 642525 / 642525
GCD(975, 659) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 983
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 983) = 983
GCD(1, 983) = ( 1 x 983 ) / 983
GCD(1, 983) = 983 / 983
GCD(1, 983) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 355
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 355) = 355
GCD(1, 355) = ( 1 x 355 ) / 355
GCD(1, 355) = 355 / 355
GCD(1, 355) = 1
GCD of 975, 659, 983, 355 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 975, 659, 983, 355?
GCD of 975, 659, 983, 355 is 1
2. Where do I get the detailed procedure to find GCD of 975, 659, 983, 355?
You can find a detailed procedure to find GCD of 975, 659, 983, 355 on our page.
3. How to find GCD of 975, 659, 983, 355 on a calculator?
You can find the GCD of 975, 659, 983, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.