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 961, 735, 932, 295 i.e. 1 largest integer that divides all the numbers equally.
GCD of 961, 735, 932, 295 is 1
GCD(961, 735, 932, 295) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 961, 735, 932, 295 is 1
GCD(961, 735, 932, 295) = 1
Given Input numbers are 961, 735, 932, 295
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
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 932
List of positive integer divisors of 932 that divides 932 without a remainder.
1, 2, 4, 233, 466, 932
Divisors of 295
List of positive integer divisors of 295 that divides 295 without a remainder.
1, 5, 59, 295
Greatest Common Divisior
We found the divisors of 961, 735, 932, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 735, 932, 295 is 1.
Therefore, GCD of numbers 961, 735, 932, 295 is 1
Given Input Data is 961, 735, 932, 295
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 961 is 31 x 31
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 932 is 2 x 2 x 233
Prime Factorization of 295 is 5 x 59
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(961, 735) = 706335
GCD(961, 735) = ( 961 x 735 ) / 706335
GCD(961, 735) = 706335 / 706335
GCD(961, 735) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 932
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 932) = 932
GCD(1, 932) = ( 1 x 932 ) / 932
GCD(1, 932) = 932 / 932
GCD(1, 932) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 295
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 295) = 295
GCD(1, 295) = ( 1 x 295 ) / 295
GCD(1, 295) = 295 / 295
GCD(1, 295) = 1
GCD of 961, 735, 932, 295 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 961, 735, 932, 295?
GCD of 961, 735, 932, 295 is 1
2. Where do I get the detailed procedure to find GCD of 961, 735, 932, 295?
You can find a detailed procedure to find GCD of 961, 735, 932, 295 on our page.
3. How to find GCD of 961, 735, 932, 295 on a calculator?
You can find the GCD of 961, 735, 932, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.