GCD of 285, 144, 202 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 285, 144, 202 i.e. 1 largest integer that divides all the numbers equally.
GCD of 285, 144, 202 is 1
GCD(285, 144, 202) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 285, 144, 202 is 1
GCD(285, 144, 202) = 1
GCDof 285,144,202 is 1
Given Input numbers are 285, 144, 202
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 285
List of positive integer divisors of 285 that divides 285 without a remainder.
1, 3, 5, 15, 19, 57, 95, 285
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 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Greatest Common Divisior
We found the divisors of 285, 144, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 285, 144, 202 is 1.
Therefore, GCD of numbers 285, 144, 202 is 1
Given Input Data is 285, 144, 202
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 285 is 3 x 5 x 19
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 202 is 2 x 101
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 285, 144, 202 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(285, 144) = 13680
GCD(285, 144) = ( 285 x 144 ) / 13680
GCD(285, 144) = 41040 / 13680
GCD(285, 144) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 202
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 202) = 606
GCD(3, 202) = ( 3 x 202 ) / 606
GCD(3, 202) = 606 / 606
GCD(3, 202) = 1
GCD of 285, 144, 202 is 1
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FAQs on GCD of numbers 285, 144, 202
1. What is the GCD of 285, 144, 202?
GCD of 285, 144, 202 is 1
2. Where do I get the detailed procedure to find GCD of 285, 144, 202?
You can find a detailed procedure to find GCD of 285, 144, 202 on our page.
3. How to find GCD of 285, 144, 202 on a calculator?
You can find the GCD of 285, 144, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.