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, 914, 873, 602 i.e. 1 largest integer that divides all the numbers equally.
GCD of 975, 914, 873, 602 is 1
GCD(975, 914, 873, 602) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 975, 914, 873, 602 is 1
GCD(975, 914, 873, 602) = 1
Given Input numbers are 975, 914, 873, 602
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 914
List of positive integer divisors of 914 that divides 914 without a remainder.
1, 2, 457, 914
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Divisors of 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
Greatest Common Divisior
We found the divisors of 975, 914, 873, 602 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 914, 873, 602 is 1.
Therefore, GCD of numbers 975, 914, 873, 602 is 1
Given Input Data is 975, 914, 873, 602
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 914 is 2 x 457
Prime Factorization of 873 is 3 x 3 x 97
Prime Factorization of 602 is 2 x 7 x 43
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, 914) = 891150
GCD(975, 914) = ( 975 x 914 ) / 891150
GCD(975, 914) = 891150 / 891150
GCD(975, 914) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 873
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 873) = 873
GCD(1, 873) = ( 1 x 873 ) / 873
GCD(1, 873) = 873 / 873
GCD(1, 873) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 602
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 602) = 602
GCD(1, 602) = ( 1 x 602 ) / 602
GCD(1, 602) = 602 / 602
GCD(1, 602) = 1
GCD of 975, 914, 873, 602 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 975, 914, 873, 602?
GCD of 975, 914, 873, 602 is 1
2. Where do I get the detailed procedure to find GCD of 975, 914, 873, 602?
You can find a detailed procedure to find GCD of 975, 914, 873, 602 on our page.
3. How to find GCD of 975, 914, 873, 602 on a calculator?
You can find the GCD of 975, 914, 873, 602 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.