GCD of 771, 177, 243 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 771, 177, 243 i.e. 3 largest integer that divides all the numbers equally.
GCD of 771, 177, 243 is 3
GCD(771, 177, 243) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 771, 177, 243 is 3
GCD(771, 177, 243) = 3
GCDof 771,177,243 is 3
Given Input numbers are 771, 177, 243
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Greatest Common Divisior
We found the divisors of 771, 177, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 771, 177, 243 is 3.
Therefore, GCD of numbers 771, 177, 243 is 3
Given Input Data is 771, 177, 243
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 771 is 3 x 257
Prime Factorization of 177 is 3 x 59
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Finding GCD of 771, 177, 243 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(771, 177) = 45489
GCD(771, 177) = ( 771 x 177 ) / 45489
GCD(771, 177) = 136467 / 45489
GCD(771, 177) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 243
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 243) = 243
GCD(3, 243) = ( 3 x 243 ) / 243
GCD(3, 243) = 729 / 243
GCD(3, 243) = 3
GCD of 771, 177, 243 is 3
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FAQs on GCD of numbers 771, 177, 243
1. What is the GCD of 771, 177, 243?
GCD of 771, 177, 243 is 3
2. Where do I get the detailed procedure to find GCD of 771, 177, 243?
You can find a detailed procedure to find GCD of 771, 177, 243 on our page.
3. How to find GCD of 771, 177, 243 on a calculator?
You can find the GCD of 771, 177, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.