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, 316, 821, 977 i.e. 1 largest integer that divides all the numbers equally.
GCD of 966, 316, 821, 977 is 1
GCD(966, 316, 821, 977) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 966, 316, 821, 977 is 1
GCD(966, 316, 821, 977) = 1
Given Input numbers are 966, 316, 821, 977
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 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Divisors of 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Greatest Common Divisior
We found the divisors of 966, 316, 821, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 316, 821, 977 is 1.
Therefore, GCD of numbers 966, 316, 821, 977 is 1
Given Input Data is 966, 316, 821, 977
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 316 is 2 x 2 x 79
Prime Factorization of 821 is 821
Prime Factorization of 977 is 977
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(966, 316) = 152628
GCD(966, 316) = ( 966 x 316 ) / 152628
GCD(966, 316) = 305256 / 152628
GCD(966, 316) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 821
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 821) = 1642
GCD(2, 821) = ( 2 x 821 ) / 1642
GCD(2, 821) = 1642 / 1642
GCD(2, 821) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 977
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 977) = 977
GCD(1, 977) = ( 1 x 977 ) / 977
GCD(1, 977) = 977 / 977
GCD(1, 977) = 1
GCD of 966, 316, 821, 977 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 966, 316, 821, 977?
GCD of 966, 316, 821, 977 is 1
2. Where do I get the detailed procedure to find GCD of 966, 316, 821, 977?
You can find a detailed procedure to find GCD of 966, 316, 821, 977 on our page.
3. How to find GCD of 966, 316, 821, 977 on a calculator?
You can find the GCD of 966, 316, 821, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.