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, 532, 96, 877 i.e. 1 largest integer that divides all the numbers equally.
GCD of 961, 532, 96, 877 is 1
GCD(961, 532, 96, 877) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 961, 532, 96, 877 is 1
GCD(961, 532, 96, 877) = 1
Given Input numbers are 961, 532, 96, 877
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 532
List of positive integer divisors of 532 that divides 532 without a remainder.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 877
List of positive integer divisors of 877 that divides 877 without a remainder.
1, 877
Greatest Common Divisior
We found the divisors of 961, 532, 96, 877 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 532, 96, 877 is 1.
Therefore, GCD of numbers 961, 532, 96, 877 is 1
Given Input Data is 961, 532, 96, 877
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 961 is 31 x 31
Prime Factorization of 532 is 2 x 2 x 7 x 19
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 877 is 877
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, 532) = 511252
GCD(961, 532) = ( 961 x 532 ) / 511252
GCD(961, 532) = 511252 / 511252
GCD(961, 532) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 96) = 96
GCD(1, 96) = ( 1 x 96 ) / 96
GCD(1, 96) = 96 / 96
GCD(1, 96) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 877
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 877) = 877
GCD(1, 877) = ( 1 x 877 ) / 877
GCD(1, 877) = 877 / 877
GCD(1, 877) = 1
GCD of 961, 532, 96, 877 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 961, 532, 96, 877?
GCD of 961, 532, 96, 877 is 1
2. Where do I get the detailed procedure to find GCD of 961, 532, 96, 877?
You can find a detailed procedure to find GCD of 961, 532, 96, 877 on our page.
3. How to find GCD of 961, 532, 96, 877 on a calculator?
You can find the GCD of 961, 532, 96, 877 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.