GCD of 814, 936, 871 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 814, 936, 871 quickly. Get the easiest ways to solve the greatest common divisor of 814, 936, 871 i.e 1 in different methods as follows.
Given Input numbers are 814, 936, 871
In the factoring method, we have to find the divisors of all numbers
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 871 :
The positive integer divisors of 871 that completely divides 871 are.
1, 13, 67, 871
GCD of numbers is the greatest common divisor
So, the GCD (814, 936, 871) = 1.
Given numbers are 814, 936, 871
The list of prime factors of all numbers are
Prime factors of 814 are 2 x 11 x 37
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 871 are 13 x 67
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 814, 936, 871 using LCM Formula
Given numbers are 814, 936, 871
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(814, 936) = 380952
GCD(814, 936) = ( 814 x 936 ) / 380952
= 814 / 936
= 814
Step2:
LCM(2, 871) = 1742
GCD(2, 871) = ( 2 x 871 ) / 1742
= 2 / 871
= 2
So, Greatest Common Divisor of 814, 936, 871 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 814, 936, 871
Given numbers are 814, 936, 871
The greatest common divisor of numbers 814, 936, 871 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 936, 871 is 1.
FAQs on GCD of 814, 936, 871 Calculator
1. What is the GCD of 814, 936, 871?
GCD of given numbers 814, 936, 871 is 1
2. How to calculate the greatest common divisor of 814, 936, 871?
We can find the highest common divisor of 814, 936, 871 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 814, 936, 871 i.e 1.
3. How can I use the GCD of 814, 936, 871Calculator?
Out the numbers 814, 936, 871 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.