GCD of 47, 72, 31, 36 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 47, 72, 31, 36 quickly. Get the easiest ways to solve the greatest common divisor of 47, 72, 31, 36 i.e 1 in different methods as follows.
Given Input numbers are 47, 72, 31, 36
In the factoring method, we have to find the divisors of all numbers
Divisors of 47 :
The positive integer divisors of 47 that completely divides 47 are.
1, 47
Divisors of 72 :
The positive integer divisors of 72 that completely divides 72 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 31 :
The positive integer divisors of 31 that completely divides 31 are.
1, 31
Divisors of 36 :
The positive integer divisors of 36 that completely divides 36 are.
1, 2, 3, 4, 6, 9, 12, 18, 36
GCD of numbers is the greatest common divisor
So, the GCD (47, 72, 31, 36) = 1.
Given numbers are 47, 72, 31, 36
The list of prime factors of all numbers are
Prime factors of 47 are 47
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
Prime factors of 31 are 31
Prime factors of 36 are 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 47, 72, 31, 36 using LCM Formula
Given numbers are 47, 72, 31, 36
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(47, 72) = 3384
GCD(47, 72) = ( 47 x 72 ) / 3384
= 47 / 72
= 47
Step2:
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
= 1 / 31
= 1
Step3:
LCM(1, 36) = 36
GCD(1, 36) = ( 1 x 36 ) / 36
= 1 / 36
= 1
So, Greatest Common Divisor of 47, 72, 31, 36 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 47, 72, 31, 36
Given numbers are 47, 72, 31, 36
The greatest common divisor of numbers 47, 72, 31, 36 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 47, 72, 31, 36 is 1.
FAQs on GCD of 47, 72, 31, 36 Calculator
1. What is the GCD of 47, 72, 31, 36?
GCD of given numbers 47, 72, 31, 36 is 1
2. How to calculate the greatest common divisor of 47, 72, 31, 36?
We can find the highest common divisor of 47, 72, 31, 36 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 47, 72, 31, 36 i.e 1.
3. How can I use the GCD of 47, 72, 31, 36Calculator?
Out the numbers 47, 72, 31, 36 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.