GCD of 687, 387, 31, 831 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 687, 387, 31, 831 quickly. Get the easiest ways to solve the greatest common divisor of 687, 387, 31, 831 i.e 1 in different methods as follows.
Given Input numbers are 687, 387, 31, 831
In the factoring method, we have to find the divisors of all numbers
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 387 :
The positive integer divisors of 387 that completely divides 387 are.
1, 3, 9, 43, 129, 387
Divisors of 31 :
The positive integer divisors of 31 that completely divides 31 are.
1, 31
Divisors of 831 :
The positive integer divisors of 831 that completely divides 831 are.
1, 3, 277, 831
GCD of numbers is the greatest common divisor
So, the GCD (687, 387, 31, 831) = 1.
Given numbers are 687, 387, 31, 831
The list of prime factors of all numbers are
Prime factors of 687 are 3 x 229
Prime factors of 387 are 3 x 3 x 43
Prime factors of 31 are 31
Prime factors of 831 are 3 x 277
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 687, 387, 31, 831 using LCM Formula
Given numbers are 687, 387, 31, 831
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(687, 387) = 88623
GCD(687, 387) = ( 687 x 387 ) / 88623
= 687 / 387
= 687
Step2:
LCM(3, 31) = 93
GCD(3, 31) = ( 3 x 31 ) / 93
= 3 / 31
= 3
Step3:
LCM(1, 831) = 831
GCD(1, 831) = ( 1 x 831 ) / 831
= 1 / 831
= 1
So, Greatest Common Divisor of 687, 387, 31, 831 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 687, 387, 31, 831
Given numbers are 687, 387, 31, 831
The greatest common divisor of numbers 687, 387, 31, 831 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 387, 31, 831 is 1.
FAQs on GCD of 687, 387, 31, 831 Calculator
1. What is the GCD of 687, 387, 31, 831?
GCD of given numbers 687, 387, 31, 831 is 1
2. How to calculate the greatest common divisor of 687, 387, 31, 831?
We can find the highest common divisor of 687, 387, 31, 831 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 687, 387, 31, 831 i.e 1.
3. How can I use the GCD of 687, 387, 31, 831Calculator?
Out the numbers 687, 387, 31, 831 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.