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, 900, 270, 731 i.e. 1 largest integer that divides all the numbers equally.
GCD of 652, 900, 270, 731 is 1
GCD(652, 900, 270, 731) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 652, 900, 270, 731 is 1
GCD(652, 900, 270, 731) = 1
Given Input numbers are 652, 900, 270, 731
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 900
List of positive integer divisors of 900 that divides 900 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Greatest Common Divisior
We found the divisors of 652, 900, 270, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 652, 900, 270, 731 is 1.
Therefore, GCD of numbers 652, 900, 270, 731 is 1
Given Input Data is 652, 900, 270, 731
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 900 is 2 x 2 x 3 x 3 x 5 x 5
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 731 is 17 x 43
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, 900) = 146700
GCD(652, 900) = ( 652 x 900 ) / 146700
GCD(652, 900) = 586800 / 146700
GCD(652, 900) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 270
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 270) = 540
GCD(4, 270) = ( 4 x 270 ) / 540
GCD(4, 270) = 1080 / 540
GCD(4, 270) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 731
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 731) = 1462
GCD(2, 731) = ( 2 x 731 ) / 1462
GCD(2, 731) = 1462 / 1462
GCD(2, 731) = 1
GCD of 652, 900, 270, 731 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 652, 900, 270, 731?
GCD of 652, 900, 270, 731 is 1
2. Where do I get the detailed procedure to find GCD of 652, 900, 270, 731?
You can find a detailed procedure to find GCD of 652, 900, 270, 731 on our page.
3. How to find GCD of 652, 900, 270, 731 on a calculator?
You can find the GCD of 652, 900, 270, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.