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 150, 110, 325, 716 i.e. 1 largest integer that divides all the numbers equally.
GCD of 150, 110, 325, 716 is 1
GCD(150, 110, 325, 716) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 150, 110, 325, 716 is 1
GCD(150, 110, 325, 716) = 1
Given Input numbers are 150, 110, 325, 716
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Greatest Common Divisior
We found the divisors of 150, 110, 325, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 110, 325, 716 is 1.
Therefore, GCD of numbers 150, 110, 325, 716 is 1
Given Input Data is 150, 110, 325, 716
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 150 is 2 x 3 x 5 x 5
Prime Factorization of 110 is 2 x 5 x 11
Prime Factorization of 325 is 5 x 5 x 13
Prime Factorization of 716 is 2 x 2 x 179
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(150, 110) = 1650
GCD(150, 110) = ( 150 x 110 ) / 1650
GCD(150, 110) = 16500 / 1650
GCD(150, 110) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 325
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 325) = 650
GCD(10, 325) = ( 10 x 325 ) / 650
GCD(10, 325) = 3250 / 650
GCD(10, 325) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 716
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 716) = 3580
GCD(5, 716) = ( 5 x 716 ) / 3580
GCD(5, 716) = 3580 / 3580
GCD(5, 716) = 1
GCD of 150, 110, 325, 716 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 150, 110, 325, 716?
GCD of 150, 110, 325, 716 is 1
2. Where do I get the detailed procedure to find GCD of 150, 110, 325, 716?
You can find a detailed procedure to find GCD of 150, 110, 325, 716 on our page.
3. How to find GCD of 150, 110, 325, 716 on a calculator?
You can find the GCD of 150, 110, 325, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.