GCD of 966, 876, 949 Calculator
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 966, 876, 949 i.e. 1 largest integer that divides all the numbers equally.
GCD of 966, 876, 949 is 1
GCD(966, 876, 949) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 966, 876, 949 is 1
GCD(966, 876, 949) = 1
GCDof 966,876,949 is 1
Given Input numbers are 966, 876, 949
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 966
List of positive integer divisors of 966 that divides 966 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
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
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 966, 876, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 876, 949 is 1.
Therefore, GCD of numbers 966, 876, 949 is 1
Given Input Data is 966, 876, 949
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 966 is 2 x 3 x 7 x 23
Prime Factorization of 876 is 2 x 2 x 3 x 73
Prime Factorization of 949 is 13 x 73
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 966, 876, 949 using LCM Formula
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(966, 876) = 141036
GCD(966, 876) = ( 966 x 876 ) / 141036
GCD(966, 876) = 846216 / 141036
GCD(966, 876) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 949
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 949) = 5694
GCD(6, 949) = ( 6 x 949 ) / 5694
GCD(6, 949) = 5694 / 5694
GCD(6, 949) = 1
GCD of 966, 876, 949 is 1
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FAQs on GCD of numbers 966, 876, 949
1. What is the GCD of 966, 876, 949?
GCD of 966, 876, 949 is 1
2. Where do I get the detailed procedure to find GCD of 966, 876, 949?
You can find a detailed procedure to find GCD of 966, 876, 949 on our page.
3. How to find GCD of 966, 876, 949 on a calculator?
You can find the GCD of 966, 876, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.