GCD of 31, 17, 65, 84 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 31, 17, 65, 84 quickly. Get the easiest ways to solve the greatest common divisor of 31, 17, 65, 84 i.e 1 in different methods as follows.
Given Input numbers are 31, 17, 65, 84
In the factoring method, we have to find the divisors of all numbers
Divisors of 31 :
The positive integer divisors of 31 that completely divides 31 are.
1, 31
Divisors of 17 :
The positive integer divisors of 17 that completely divides 17 are.
1, 17
Divisors of 65 :
The positive integer divisors of 65 that completely divides 65 are.
1, 5, 13, 65
Divisors of 84 :
The positive integer divisors of 84 that completely divides 84 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
GCD of numbers is the greatest common divisor
So, the GCD (31, 17, 65, 84) = 1.
Given numbers are 31, 17, 65, 84
The list of prime factors of all numbers are
Prime factors of 31 are 31
Prime factors of 17 are 17
Prime factors of 65 are 5 x 13
Prime factors of 84 are 2 x 2 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 31, 17, 65, 84 using LCM Formula
Given numbers are 31, 17, 65, 84
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(31, 17) = 527
GCD(31, 17) = ( 31 x 17 ) / 527
= 31 / 17
= 31
Step2:
LCM(1, 65) = 65
GCD(1, 65) = ( 1 x 65 ) / 65
= 1 / 65
= 1
Step3:
LCM(1, 84) = 84
GCD(1, 84) = ( 1 x 84 ) / 84
= 1 / 84
= 1
So, Greatest Common Divisor of 31, 17, 65, 84 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 31, 17, 65, 84
Given numbers are 31, 17, 65, 84
The greatest common divisor of numbers 31, 17, 65, 84 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 31, 17, 65, 84 is 1.
FAQs on GCD of 31, 17, 65, 84 Calculator
1. What is the GCD of 31, 17, 65, 84?
GCD of given numbers 31, 17, 65, 84 is 1
2. How to calculate the greatest common divisor of 31, 17, 65, 84?
We can find the highest common divisor of 31, 17, 65, 84 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 31, 17, 65, 84 i.e 1.
3. How can I use the GCD of 31, 17, 65, 84Calculator?
Out the numbers 31, 17, 65, 84 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.