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, 857, 61, 949 i.e. 1 largest integer that divides all the numbers equally.
GCD of 961, 857, 61, 949 is 1
GCD(961, 857, 61, 949) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 961, 857, 61, 949 is 1
GCD(961, 857, 61, 949) = 1
Given Input numbers are 961, 857, 61, 949
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 857
List of positive integer divisors of 857 that divides 857 without a remainder.
1, 857
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 949
List of positive integer divisors of 949 that divides 949 without a remainder.
1, 13, 73, 949
Greatest Common Divisior
We found the divisors of 961, 857, 61, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 857, 61, 949 is 1.
Therefore, GCD of numbers 961, 857, 61, 949 is 1
Given Input Data is 961, 857, 61, 949
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 961 is 31 x 31
Prime Factorization of 857 is 857
Prime Factorization of 61 is 61
Prime Factorization of 949 is 13 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, 857) = 823577
GCD(961, 857) = ( 961 x 857 ) / 823577
GCD(961, 857) = 823577 / 823577
GCD(961, 857) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 61) = 61
GCD(1, 61) = ( 1 x 61 ) / 61
GCD(1, 61) = 61 / 61
GCD(1, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 949
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 949) = 949
GCD(1, 949) = ( 1 x 949 ) / 949
GCD(1, 949) = 949 / 949
GCD(1, 949) = 1
GCD of 961, 857, 61, 949 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 961, 857, 61, 949?
GCD of 961, 857, 61, 949 is 1
2. Where do I get the detailed procedure to find GCD of 961, 857, 61, 949?
You can find a detailed procedure to find GCD of 961, 857, 61, 949 on our page.
3. How to find GCD of 961, 857, 61, 949 on a calculator?
You can find the GCD of 961, 857, 61, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.