GCD of 44, 31, 75, 60 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 44, 31, 75, 60 quickly. Get the easiest ways to solve the greatest common divisor of 44, 31, 75, 60 i.e 1 in different methods as follows.
Given Input numbers are 44, 31, 75, 60
In the factoring method, we have to find the divisors of all numbers
Divisors of 44 :
The positive integer divisors of 44 that completely divides 44 are.
1, 2, 4, 11, 22, 44
Divisors of 31 :
The positive integer divisors of 31 that completely divides 31 are.
1, 31
Divisors of 75 :
The positive integer divisors of 75 that completely divides 75 are.
1, 3, 5, 15, 25, 75
Divisors of 60 :
The positive integer divisors of 60 that completely divides 60 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
GCD of numbers is the greatest common divisor
So, the GCD (44, 31, 75, 60) = 1.
Given numbers are 44, 31, 75, 60
The list of prime factors of all numbers are
Prime factors of 44 are 2 x 2 x 11
Prime factors of 31 are 31
Prime factors of 75 are 3 x 5 x 5
Prime factors of 60 are 2 x 2 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 44, 31, 75, 60 using LCM Formula
Given numbers are 44, 31, 75, 60
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(44, 31) = 1364
GCD(44, 31) = ( 44 x 31 ) / 1364
= 44 / 31
= 44
Step2:
LCM(1, 75) = 75
GCD(1, 75) = ( 1 x 75 ) / 75
= 1 / 75
= 1
Step3:
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
= 1 / 60
= 1
So, Greatest Common Divisor of 44, 31, 75, 60 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 44, 31, 75, 60
Given numbers are 44, 31, 75, 60
The greatest common divisor of numbers 44, 31, 75, 60 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 44, 31, 75, 60 is 1.
FAQs on GCD of 44, 31, 75, 60 Calculator
1. What is the GCD of 44, 31, 75, 60?
GCD of given numbers 44, 31, 75, 60 is 1
2. How to calculate the greatest common divisor of 44, 31, 75, 60?
We can find the highest common divisor of 44, 31, 75, 60 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 44, 31, 75, 60 i.e 1.
3. How can I use the GCD of 44, 31, 75, 60Calculator?
Out the numbers 44, 31, 75, 60 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.