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, 741, 201, 881 i.e. 1 largest integer that divides all the numbers equally.
GCD of 975, 741, 201, 881 is 1
GCD(975, 741, 201, 881) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 975, 741, 201, 881 is 1
GCD(975, 741, 201, 881) = 1
Given Input numbers are 975, 741, 201, 881
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 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Divisors of 881
List of positive integer divisors of 881 that divides 881 without a remainder.
1, 881
Greatest Common Divisior
We found the divisors of 975, 741, 201, 881 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 741, 201, 881 is 1.
Therefore, GCD of numbers 975, 741, 201, 881 is 1
Given Input Data is 975, 741, 201, 881
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 741 is 3 x 13 x 19
Prime Factorization of 201 is 3 x 67
Prime Factorization of 881 is 881
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, 741) = 18525
GCD(975, 741) = ( 975 x 741 ) / 18525
GCD(975, 741) = 722475 / 18525
GCD(975, 741) = 39
Step2:
Here we consider the GCD from the above i.e. 39 as first number and the next as 201
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(39, 201) = 2613
GCD(39, 201) = ( 39 x 201 ) / 2613
GCD(39, 201) = 7839 / 2613
GCD(39, 201) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 881
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 881) = 2643
GCD(3, 881) = ( 3 x 881 ) / 2643
GCD(3, 881) = 2643 / 2643
GCD(3, 881) = 1
GCD of 975, 741, 201, 881 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 975, 741, 201, 881?
GCD of 975, 741, 201, 881 is 1
2. Where do I get the detailed procedure to find GCD of 975, 741, 201, 881?
You can find a detailed procedure to find GCD of 975, 741, 201, 881 on our page.
3. How to find GCD of 975, 741, 201, 881 on a calculator?
You can find the GCD of 975, 741, 201, 881 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.