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, 438, 370, 428 i.e. 2 largest integer that divides all the numbers equally.
GCD of 652, 438, 370, 428 is 2
GCD(652, 438, 370, 428) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 652, 438, 370, 428 is 2
GCD(652, 438, 370, 428) = 2
Given Input numbers are 652, 438, 370, 428
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 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Greatest Common Divisior
We found the divisors of 652, 438, 370, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 652, 438, 370, 428 is 2.
Therefore, GCD of numbers 652, 438, 370, 428 is 2
Given Input Data is 652, 438, 370, 428
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 438 is 2 x 3 x 73
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 428 is 2 x 2 x 107
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, 438) = 142788
GCD(652, 438) = ( 652 x 438 ) / 142788
GCD(652, 438) = 285576 / 142788
GCD(652, 438) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 370
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 370) = 370
GCD(2, 370) = ( 2 x 370 ) / 370
GCD(2, 370) = 740 / 370
GCD(2, 370) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 428
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 428) = 428
GCD(2, 428) = ( 2 x 428 ) / 428
GCD(2, 428) = 856 / 428
GCD(2, 428) = 2
GCD of 652, 438, 370, 428 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 652, 438, 370, 428?
GCD of 652, 438, 370, 428 is 2
2. Where do I get the detailed procedure to find GCD of 652, 438, 370, 428?
You can find a detailed procedure to find GCD of 652, 438, 370, 428 on our page.
3. How to find GCD of 652, 438, 370, 428 on a calculator?
You can find the GCD of 652, 438, 370, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.