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 66, 890, 963, 940 i.e. 1 largest integer that divides all the numbers equally.
GCD of 66, 890, 963, 940 is 1
GCD(66, 890, 963, 940) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 66, 890, 963, 940 is 1
GCD(66, 890, 963, 940) = 1
Given Input numbers are 66, 890, 963, 940
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 890
List of positive integer divisors of 890 that divides 890 without a remainder.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Greatest Common Divisior
We found the divisors of 66, 890, 963, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 890, 963, 940 is 1.
Therefore, GCD of numbers 66, 890, 963, 940 is 1
Given Input Data is 66, 890, 963, 940
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 890 is 2 x 5 x 89
Prime Factorization of 963 is 3 x 3 x 107
Prime Factorization of 940 is 2 x 2 x 5 x 47
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(66, 890) = 29370
GCD(66, 890) = ( 66 x 890 ) / 29370
GCD(66, 890) = 58740 / 29370
GCD(66, 890) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 963
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 963) = 1926
GCD(2, 963) = ( 2 x 963 ) / 1926
GCD(2, 963) = 1926 / 1926
GCD(2, 963) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 940
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 940) = 940
GCD(1, 940) = ( 1 x 940 ) / 940
GCD(1, 940) = 940 / 940
GCD(1, 940) = 1
GCD of 66, 890, 963, 940 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 66, 890, 963, 940?
GCD of 66, 890, 963, 940 is 1
2. Where do I get the detailed procedure to find GCD of 66, 890, 963, 940?
You can find a detailed procedure to find GCD of 66, 890, 963, 940 on our page.
3. How to find GCD of 66, 890, 963, 940 on a calculator?
You can find the GCD of 66, 890, 963, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.