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 964, 852, 800, 606 i.e. 2 largest integer that divides all the numbers equally.
GCD of 964, 852, 800, 606 is 2
GCD(964, 852, 800, 606) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 964, 852, 800, 606 is 2
GCD(964, 852, 800, 606) = 2
Given Input numbers are 964, 852, 800, 606
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 800
List of positive integer divisors of 800 that divides 800 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 606
List of positive integer divisors of 606 that divides 606 without a remainder.
1, 2, 3, 6, 101, 202, 303, 606
Greatest Common Divisior
We found the divisors of 964, 852, 800, 606 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 964, 852, 800, 606 is 2.
Therefore, GCD of numbers 964, 852, 800, 606 is 2
Given Input Data is 964, 852, 800, 606
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 964 is 2 x 2 x 241
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 606 is 2 x 3 x 101
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(964, 852) = 205332
GCD(964, 852) = ( 964 x 852 ) / 205332
GCD(964, 852) = 821328 / 205332
GCD(964, 852) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 800
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 800) = 800
GCD(4, 800) = ( 4 x 800 ) / 800
GCD(4, 800) = 3200 / 800
GCD(4, 800) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 606
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 606) = 1212
GCD(4, 606) = ( 4 x 606 ) / 1212
GCD(4, 606) = 2424 / 1212
GCD(4, 606) = 2
GCD of 964, 852, 800, 606 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 964, 852, 800, 606?
GCD of 964, 852, 800, 606 is 2
2. Where do I get the detailed procedure to find GCD of 964, 852, 800, 606?
You can find a detailed procedure to find GCD of 964, 852, 800, 606 on our page.
3. How to find GCD of 964, 852, 800, 606 on a calculator?
You can find the GCD of 964, 852, 800, 606 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.