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 772, 636, 38, 964 i.e. 2 largest integer that divides all the numbers equally.
GCD of 772, 636, 38, 964 is 2
GCD(772, 636, 38, 964) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 772, 636, 38, 964 is 2
GCD(772, 636, 38, 964) = 2
Given Input numbers are 772, 636, 38, 964
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 636
List of positive integer divisors of 636 that divides 636 without a remainder.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Greatest Common Divisior
We found the divisors of 772, 636, 38, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 636, 38, 964 is 2.
Therefore, GCD of numbers 772, 636, 38, 964 is 2
Given Input Data is 772, 636, 38, 964
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 636 is 2 x 2 x 3 x 53
Prime Factorization of 38 is 2 x 19
Prime Factorization of 964 is 2 x 2 x 241
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(772, 636) = 122748
GCD(772, 636) = ( 772 x 636 ) / 122748
GCD(772, 636) = 490992 / 122748
GCD(772, 636) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 38) = 76
GCD(4, 38) = ( 4 x 38 ) / 76
GCD(4, 38) = 152 / 76
GCD(4, 38) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 964
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 964) = 964
GCD(2, 964) = ( 2 x 964 ) / 964
GCD(2, 964) = 1928 / 964
GCD(2, 964) = 2
GCD of 772, 636, 38, 964 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 772, 636, 38, 964?
GCD of 772, 636, 38, 964 is 2
2. Where do I get the detailed procedure to find GCD of 772, 636, 38, 964?
You can find a detailed procedure to find GCD of 772, 636, 38, 964 on our page.
3. How to find GCD of 772, 636, 38, 964 on a calculator?
You can find the GCD of 772, 636, 38, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.