GCD of 59, 24, 31, 45 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 59, 24, 31, 45 quickly. Get the easiest ways to solve the greatest common divisor of 59, 24, 31, 45 i.e 1 in different methods as follows.
Given Input numbers are 59, 24, 31, 45
In the factoring method, we have to find the divisors of all numbers
Divisors of 59 :
The positive integer divisors of 59 that completely divides 59 are.
1, 59
Divisors of 24 :
The positive integer divisors of 24 that completely divides 24 are.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 31 :
The positive integer divisors of 31 that completely divides 31 are.
1, 31
Divisors of 45 :
The positive integer divisors of 45 that completely divides 45 are.
1, 3, 5, 9, 15, 45
GCD of numbers is the greatest common divisor
So, the GCD (59, 24, 31, 45) = 1.
Given numbers are 59, 24, 31, 45
The list of prime factors of all numbers are
Prime factors of 59 are 59
Prime factors of 24 are 2 x 2 x 2 x 3
Prime factors of 31 are 31
Prime factors of 45 are 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 59, 24, 31, 45 using LCM Formula
Given numbers are 59, 24, 31, 45
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(59, 24) = 1416
GCD(59, 24) = ( 59 x 24 ) / 1416
= 59 / 24
= 59
Step2:
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
= 1 / 31
= 1
Step3:
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
= 1 / 45
= 1
So, Greatest Common Divisor of 59, 24, 31, 45 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 59, 24, 31, 45
Given numbers are 59, 24, 31, 45
The greatest common divisor of numbers 59, 24, 31, 45 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 59, 24, 31, 45 is 1.
FAQs on GCD of 59, 24, 31, 45 Calculator
1. What is the GCD of 59, 24, 31, 45?
GCD of given numbers 59, 24, 31, 45 is 1
2. How to calculate the greatest common divisor of 59, 24, 31, 45?
We can find the highest common divisor of 59, 24, 31, 45 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 59, 24, 31, 45 i.e 1.
3. How can I use the GCD of 59, 24, 31, 45Calculator?
Out the numbers 59, 24, 31, 45 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.