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 735, 575, 961 i.e. 1 largest integer that divides all the numbers equally.
GCD of 735, 575, 961 is 1
GCD(735, 575, 961) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 735, 575, 961 is 1
GCD(735, 575, 961) = 1
Given Input numbers are 735, 575, 961
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Divisors of 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
Greatest Common Divisior
We found the divisors of 735, 575, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 575, 961 is 1.
Therefore, GCD of numbers 735, 575, 961 is 1
Given Input Data is 735, 575, 961
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 575 is 5 x 5 x 23
Prime Factorization of 961 is 31 x 31
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(735, 575) = 84525
GCD(735, 575) = ( 735 x 575 ) / 84525
GCD(735, 575) = 422625 / 84525
GCD(735, 575) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 961
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 961) = 4805
GCD(5, 961) = ( 5 x 961 ) / 4805
GCD(5, 961) = 4805 / 4805
GCD(5, 961) = 1
GCD of 735, 575, 961 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 735, 575, 961?
GCD of 735, 575, 961 is 1
2. Where do I get the detailed procedure to find GCD of 735, 575, 961?
You can find a detailed procedure to find GCD of 735, 575, 961 on our page.
3. How to find GCD of 735, 575, 961 on a calculator?
You can find the GCD of 735, 575, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.