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, 450, 51, 628 i.e. 1 largest integer that divides all the numbers equally.
GCD of 652, 450, 51, 628 is 1
GCD(652, 450, 51, 628) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 652, 450, 51, 628 is 1
GCD(652, 450, 51, 628) = 1
Given Input numbers are 652, 450, 51, 628
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 450
List of positive integer divisors of 450 that divides 450 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 628
List of positive integer divisors of 628 that divides 628 without a remainder.
1, 2, 4, 157, 314, 628
Greatest Common Divisior
We found the divisors of 652, 450, 51, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 652, 450, 51, 628 is 1.
Therefore, GCD of numbers 652, 450, 51, 628 is 1
Given Input Data is 652, 450, 51, 628
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 450 is 2 x 3 x 3 x 5 x 5
Prime Factorization of 51 is 3 x 17
Prime Factorization of 628 is 2 x 2 x 157
The above numbers do not have any common prime factor. So GCD is 1
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, 450) = 146700
GCD(652, 450) = ( 652 x 450 ) / 146700
GCD(652, 450) = 293400 / 146700
GCD(652, 450) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 51) = 102
GCD(2, 51) = ( 2 x 51 ) / 102
GCD(2, 51) = 102 / 102
GCD(2, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 628
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 628) = 628
GCD(1, 628) = ( 1 x 628 ) / 628
GCD(1, 628) = 628 / 628
GCD(1, 628) = 1
GCD of 652, 450, 51, 628 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 652, 450, 51, 628?
GCD of 652, 450, 51, 628 is 1
2. Where do I get the detailed procedure to find GCD of 652, 450, 51, 628?
You can find a detailed procedure to find GCD of 652, 450, 51, 628 on our page.
3. How to find GCD of 652, 450, 51, 628 on a calculator?
You can find the GCD of 652, 450, 51, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.