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, 674, 221, 621 i.e. 1 largest integer that divides all the numbers equally.
GCD of 966, 674, 221, 621 is 1
GCD(966, 674, 221, 621) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 966, 674, 221, 621 is 1
GCD(966, 674, 221, 621) = 1
Given Input numbers are 966, 674, 221, 621
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 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 621
List of positive integer divisors of 621 that divides 621 without a remainder.
1, 3, 9, 23, 27, 69, 207, 621
Greatest Common Divisior
We found the divisors of 966, 674, 221, 621 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 674, 221, 621 is 1.
Therefore, GCD of numbers 966, 674, 221, 621 is 1
Given Input Data is 966, 674, 221, 621
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 674 is 2 x 337
Prime Factorization of 221 is 13 x 17
Prime Factorization of 621 is 3 x 3 x 3 x 23
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, 674) = 325542
GCD(966, 674) = ( 966 x 674 ) / 325542
GCD(966, 674) = 651084 / 325542
GCD(966, 674) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 221
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 221) = 442
GCD(2, 221) = ( 2 x 221 ) / 442
GCD(2, 221) = 442 / 442
GCD(2, 221) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 621
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 621) = 621
GCD(1, 621) = ( 1 x 621 ) / 621
GCD(1, 621) = 621 / 621
GCD(1, 621) = 1
GCD of 966, 674, 221, 621 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 966, 674, 221, 621?
GCD of 966, 674, 221, 621 is 1
2. Where do I get the detailed procedure to find GCD of 966, 674, 221, 621?
You can find a detailed procedure to find GCD of 966, 674, 221, 621 on our page.
3. How to find GCD of 966, 674, 221, 621 on a calculator?
You can find the GCD of 966, 674, 221, 621 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.