GCD of 85, 40, 99, 31 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 85, 40, 99, 31 quickly. Get the easiest ways to solve the greatest common divisor of 85, 40, 99, 31 i.e 1 in different methods as follows.
Given Input numbers are 85, 40, 99, 31
In the factoring method, we have to find the divisors of all numbers
Divisors of 85 :
The positive integer divisors of 85 that completely divides 85 are.
1, 5, 17, 85
Divisors of 40 :
The positive integer divisors of 40 that completely divides 40 are.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 99 :
The positive integer divisors of 99 that completely divides 99 are.
1, 3, 9, 11, 33, 99
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 (85, 40, 99, 31) = 1.
Given numbers are 85, 40, 99, 31
The list of prime factors of all numbers are
Prime factors of 85 are 5 x 17
Prime factors of 40 are 2 x 2 x 2 x 5
Prime factors of 99 are 3 x 3 x 11
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 85, 40, 99, 31 using LCM Formula
Given numbers are 85, 40, 99, 31
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(85, 40) = 680
GCD(85, 40) = ( 85 x 40 ) / 680
= 85 / 40
= 85
Step2:
LCM(5, 99) = 495
GCD(5, 99) = ( 5 x 99 ) / 495
= 5 / 99
= 5
Step3:
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
= 1 / 31
= 1
So, Greatest Common Divisor of 85, 40, 99, 31 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 85, 40, 99, 31
Given numbers are 85, 40, 99, 31
The greatest common divisor of numbers 85, 40, 99, 31 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 85, 40, 99, 31 is 1.
FAQs on GCD of 85, 40, 99, 31 Calculator
1. What is the GCD of 85, 40, 99, 31?
GCD of given numbers 85, 40, 99, 31 is 1
2. How to calculate the greatest common divisor of 85, 40, 99, 31?
We can find the highest common divisor of 85, 40, 99, 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 85, 40, 99, 31 i.e 1.
3. How can I use the GCD of 85, 40, 99, 31Calculator?
Out the numbers 85, 40, 99, 31 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.