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 270, 453, 71, 150 i.e. 1 largest integer that divides all the numbers equally.
GCD of 270, 453, 71, 150 is 1
GCD(270, 453, 71, 150) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 270, 453, 71, 150 is 1
GCD(270, 453, 71, 150) = 1
Given Input numbers are 270, 453, 71, 150
To find the GCD of numbers using factoring list out all the divisors of each number
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 453
List of positive integer divisors of 453 that divides 453 without a remainder.
1, 3, 151, 453
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 150
List of positive integer divisors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Greatest Common Divisior
We found the divisors of 270, 453, 71, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 453, 71, 150 is 1.
Therefore, GCD of numbers 270, 453, 71, 150 is 1
Given Input Data is 270, 453, 71, 150
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 453 is 3 x 151
Prime Factorization of 71 is 71
Prime Factorization of 150 is 2 x 3 x 5 x 5
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(270, 453) = 40770
GCD(270, 453) = ( 270 x 453 ) / 40770
GCD(270, 453) = 122310 / 40770
GCD(270, 453) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 71) = 213
GCD(3, 71) = ( 3 x 71 ) / 213
GCD(3, 71) = 213 / 213
GCD(3, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 150
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 150) = 150
GCD(1, 150) = ( 1 x 150 ) / 150
GCD(1, 150) = 150 / 150
GCD(1, 150) = 1
GCD of 270, 453, 71, 150 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 270, 453, 71, 150?
GCD of 270, 453, 71, 150 is 1
2. Where do I get the detailed procedure to find GCD of 270, 453, 71, 150?
You can find a detailed procedure to find GCD of 270, 453, 71, 150 on our page.
3. How to find GCD of 270, 453, 71, 150 on a calculator?
You can find the GCD of 270, 453, 71, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.