GCD of 691, 288, 31 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 691, 288, 31 quickly. Get the easiest ways to solve the greatest common divisor of 691, 288, 31 i.e 1 in different methods as follows.
Given Input numbers are 691, 288, 31
In the factoring method, we have to find the divisors of all numbers
Divisors of 691 :
The positive integer divisors of 691 that completely divides 691 are.
1, 691
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 31 :
The positive integer divisors of 31 that completely divides 31 are.
1, 31
GCD of numbers is the greatest common divisor
So, the GCD (691, 288, 31) = 1.
Given numbers are 691, 288, 31
The list of prime factors of all numbers are
Prime factors of 691 are 691
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 31 are 31
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 691, 288, 31 using LCM Formula
Given numbers are 691, 288, 31
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(691, 288) = 199008
GCD(691, 288) = ( 691 x 288 ) / 199008
= 691 / 288
= 691
Step2:
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
= 1 / 31
= 1
So, Greatest Common Divisor of 691, 288, 31 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 691, 288, 31
Given numbers are 691, 288, 31
The greatest common divisor of numbers 691, 288, 31 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 691, 288, 31 is 1.
FAQs on GCD of 691, 288, 31 Calculator
1. What is the GCD of 691, 288, 31?
GCD of given numbers 691, 288, 31 is 1
2. How to calculate the greatest common divisor of 691, 288, 31?
We can find the highest common divisor of 691, 288, 31 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 691, 288, 31 i.e 1.
3. How can I use the GCD of 691, 288, 31Calculator?
Out the numbers 691, 288, 31 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.