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, 174, 93 i.e. 3 largest integer that divides all the numbers equally.
GCD of 771, 174, 93 is 3
GCD(771, 174, 93) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 771, 174, 93 is 3
GCD(771, 174, 93) = 3
Given Input numbers are 771, 174, 93
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 174
List of positive integer divisors of 174 that divides 174 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 93
List of positive integer divisors of 93 that divides 93 without a remainder.
1, 3, 31, 93
Greatest Common Divisior
We found the divisors of 771, 174, 93 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 771, 174, 93 is 3.
Therefore, GCD of numbers 771, 174, 93 is 3
Given Input Data is 771, 174, 93
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 771 is 3 x 257
Prime Factorization of 174 is 2 x 3 x 29
Prime Factorization of 93 is 3 x 31
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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, 174) = 44718
GCD(771, 174) = ( 771 x 174 ) / 44718
GCD(771, 174) = 134154 / 44718
GCD(771, 174) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 93
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 93) = 93
GCD(3, 93) = ( 3 x 93 ) / 93
GCD(3, 93) = 279 / 93
GCD(3, 93) = 3
GCD of 771, 174, 93 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 771, 174, 93?
GCD of 771, 174, 93 is 3
2. Where do I get the detailed procedure to find GCD of 771, 174, 93?
You can find a detailed procedure to find GCD of 771, 174, 93 on our page.
3. How to find GCD of 771, 174, 93 on a calculator?
You can find the GCD of 771, 174, 93 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.