GCD of 704, 184, 871 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 704, 184, 871 i.e. 1 largest integer that divides all the numbers equally.
GCD of 704, 184, 871 is 1
GCD(704, 184, 871) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 704, 184, 871 is 1
GCD(704, 184, 871) = 1
GCDof 704,184,871 is 1
Given Input numbers are 704, 184, 871
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 184
List of positive integer divisors of 184 that divides 184 without a remainder.
1, 2, 4, 8, 23, 46, 92, 184
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Greatest Common Divisior
We found the divisors of 704, 184, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 184, 871 is 1.
Therefore, GCD of numbers 704, 184, 871 is 1
Given Input Data is 704, 184, 871
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 184 is 2 x 2 x 2 x 23
Prime Factorization of 871 is 13 x 67
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 704, 184, 871 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(704, 184) = 16192
GCD(704, 184) = ( 704 x 184 ) / 16192
GCD(704, 184) = 129536 / 16192
GCD(704, 184) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 871
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 871) = 6968
GCD(8, 871) = ( 8 x 871 ) / 6968
GCD(8, 871) = 6968 / 6968
GCD(8, 871) = 1
GCD of 704, 184, 871 is 1
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FAQs on GCD of numbers 704, 184, 871
1. What is the GCD of 704, 184, 871?
GCD of 704, 184, 871 is 1
2. Where do I get the detailed procedure to find GCD of 704, 184, 871?
You can find a detailed procedure to find GCD of 704, 184, 871 on our page.
3. How to find GCD of 704, 184, 871 on a calculator?
You can find the GCD of 704, 184, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.