GCD of 135, 900, 734 Calculator
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 135, 900, 734 i.e. 1 largest integer that divides all the numbers equally.
GCD of 135, 900, 734 is 1
GCD(135, 900, 734) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 135, 900, 734 is 1
GCD(135, 900, 734) = 1
GCDof 135,900,734 is 1
Given Input numbers are 135, 900, 734
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
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 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Greatest Common Divisior
We found the divisors of 135, 900, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 900, 734 is 1.
Therefore, GCD of numbers 135, 900, 734 is 1
Given Input Data is 135, 900, 734
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5
Prime Factorization of 734 is 2 x 367
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 135, 900, 734 using LCM Formula
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(135, 900) = 2700
GCD(135, 900) = ( 135 x 900 ) / 2700
GCD(135, 900) = 121500 / 2700
GCD(135, 900) = 45
Step2:
Here we consider the GCD from the above i.e. 45 as first number and the next as 734
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(45, 734) = 33030
GCD(45, 734) = ( 45 x 734 ) / 33030
GCD(45, 734) = 33030 / 33030
GCD(45, 734) = 1
GCD of 135, 900, 734 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 135, 900, 734
1. What is the GCD of 135, 900, 734?
GCD of 135, 900, 734 is 1
2. Where do I get the detailed procedure to find GCD of 135, 900, 734?
You can find a detailed procedure to find GCD of 135, 900, 734 on our page.
3. How to find GCD of 135, 900, 734 on a calculator?
You can find the GCD of 135, 900, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.