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 652, 444, 96, 862 i.e. 2 largest integer that divides all the numbers equally.
GCD of 652, 444, 96, 862 is 2
GCD(652, 444, 96, 862) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 652, 444, 96, 862 is 2
GCD(652, 444, 96, 862) = 2
Given Input numbers are 652, 444, 96, 862
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
Divisors of 444
List of positive integer divisors of 444 that divides 444 without a remainder.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
Greatest Common Divisior
We found the divisors of 652, 444, 96, 862 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 652, 444, 96, 862 is 2.
Therefore, GCD of numbers 652, 444, 96, 862 is 2
Given Input Data is 652, 444, 96, 862
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 652 is 2 x 2 x 163
Prime Factorization of 444 is 2 x 2 x 3 x 37
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 862 is 2 x 431
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(652, 444) = 72372
GCD(652, 444) = ( 652 x 444 ) / 72372
GCD(652, 444) = 289488 / 72372
GCD(652, 444) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 96) = 96
GCD(4, 96) = ( 4 x 96 ) / 96
GCD(4, 96) = 384 / 96
GCD(4, 96) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 862
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 862) = 1724
GCD(4, 862) = ( 4 x 862 ) / 1724
GCD(4, 862) = 3448 / 1724
GCD(4, 862) = 2
GCD of 652, 444, 96, 862 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 652, 444, 96, 862?
GCD of 652, 444, 96, 862 is 2
2. Where do I get the detailed procedure to find GCD of 652, 444, 96, 862?
You can find a detailed procedure to find GCD of 652, 444, 96, 862 on our page.
3. How to find GCD of 652, 444, 96, 862 on a calculator?
You can find the GCD of 652, 444, 96, 862 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.