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 404, 692, 32, 852 i.e. 4 largest integer that divides all the numbers equally.
GCD of 404, 692, 32, 852 is 4
GCD(404, 692, 32, 852) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 404, 692, 32, 852 is 4
GCD(404, 692, 32, 852) = 4
Given Input numbers are 404, 692, 32, 852
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
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
Greatest Common Divisior
We found the divisors of 404, 692, 32, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 692, 32, 852 is 4.
Therefore, GCD of numbers 404, 692, 32, 852 is 4
Given Input Data is 404, 692, 32, 852
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 404 is 2 x 2 x 101
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 852 is 2 x 2 x 3 x 71
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(404, 692) = 69892
GCD(404, 692) = ( 404 x 692 ) / 69892
GCD(404, 692) = 279568 / 69892
GCD(404, 692) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 32) = 32
GCD(4, 32) = ( 4 x 32 ) / 32
GCD(4, 32) = 128 / 32
GCD(4, 32) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 852
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 852) = 852
GCD(4, 852) = ( 4 x 852 ) / 852
GCD(4, 852) = 3408 / 852
GCD(4, 852) = 4
GCD of 404, 692, 32, 852 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 404, 692, 32, 852?
GCD of 404, 692, 32, 852 is 4
2. Where do I get the detailed procedure to find GCD of 404, 692, 32, 852?
You can find a detailed procedure to find GCD of 404, 692, 32, 852 on our page.
3. How to find GCD of 404, 692, 32, 852 on a calculator?
You can find the GCD of 404, 692, 32, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.