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, 103, 648, 876 i.e. 1 largest integer that divides all the numbers equally.
GCD of 961, 103, 648, 876 is 1
GCD(961, 103, 648, 876) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 961, 103, 648, 876 is 1
GCD(961, 103, 648, 876) = 1
Given Input numbers are 961, 103, 648, 876
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 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 876
List of positive integer divisors of 876 that divides 876 without a remainder.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Greatest Common Divisior
We found the divisors of 961, 103, 648, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 103, 648, 876 is 1.
Therefore, GCD of numbers 961, 103, 648, 876 is 1
Given Input Data is 961, 103, 648, 876
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 961 is 31 x 31
Prime Factorization of 103 is 103
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 876 is 2 x 2 x 3 x 73
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, 103) = 98983
GCD(961, 103) = ( 961 x 103 ) / 98983
GCD(961, 103) = 98983 / 98983
GCD(961, 103) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 648
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 648) = 648
GCD(1, 648) = ( 1 x 648 ) / 648
GCD(1, 648) = 648 / 648
GCD(1, 648) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 876
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 876) = 876
GCD(1, 876) = ( 1 x 876 ) / 876
GCD(1, 876) = 876 / 876
GCD(1, 876) = 1
GCD of 961, 103, 648, 876 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 961, 103, 648, 876?
GCD of 961, 103, 648, 876 is 1
2. Where do I get the detailed procedure to find GCD of 961, 103, 648, 876?
You can find a detailed procedure to find GCD of 961, 103, 648, 876 on our page.
3. How to find GCD of 961, 103, 648, 876 on a calculator?
You can find the GCD of 961, 103, 648, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.