GCD of 144, 698, 135 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 144, 698, 135 i.e. 1 largest integer that divides all the numbers equally.
GCD of 144, 698, 135 is 1
GCD(144, 698, 135) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 144, 698, 135 is 1
GCD(144, 698, 135) = 1
GCDof 144,698,135 is 1
Given Input numbers are 144, 698, 135
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 698
List of positive integer divisors of 698 that divides 698 without a remainder.
1, 2, 349, 698
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Greatest Common Divisior
We found the divisors of 144, 698, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 698, 135 is 1.
Therefore, GCD of numbers 144, 698, 135 is 1
Given Input Data is 144, 698, 135
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 698 is 2 x 349
Prime Factorization of 135 is 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 144, 698, 135 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(144, 698) = 50256
GCD(144, 698) = ( 144 x 698 ) / 50256
GCD(144, 698) = 100512 / 50256
GCD(144, 698) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 135
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 135) = 270
GCD(2, 135) = ( 2 x 135 ) / 270
GCD(2, 135) = 270 / 270
GCD(2, 135) = 1
GCD of 144, 698, 135 is 1
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FAQs on GCD of numbers 144, 698, 135
1. What is the GCD of 144, 698, 135?
GCD of 144, 698, 135 is 1
2. Where do I get the detailed procedure to find GCD of 144, 698, 135?
You can find a detailed procedure to find GCD of 144, 698, 135 on our page.
3. How to find GCD of 144, 698, 135 on a calculator?
You can find the GCD of 144, 698, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.