GCD of 11, 72, 31, 52 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 11, 72, 31, 52 quickly. Get the easiest ways to solve the greatest common divisor of 11, 72, 31, 52 i.e 1 in different methods as follows.
Given Input numbers are 11, 72, 31, 52
In the factoring method, we have to find the divisors of all numbers
Divisors of 11 :
The positive integer divisors of 11 that completely divides 11 are.
1, 11
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 52 :
The positive integer divisors of 52 that completely divides 52 are.
1, 2, 4, 13, 26, 52
GCD of numbers is the greatest common divisor
So, the GCD (11, 72, 31, 52) = 1.
Given numbers are 11, 72, 31, 52
The list of prime factors of all numbers are
Prime factors of 11 are 11
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
Prime factors of 31 are 31
Prime factors of 52 are 2 x 2 x 13
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 11, 72, 31, 52 using LCM Formula
Given numbers are 11, 72, 31, 52
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(11, 72) = 792
GCD(11, 72) = ( 11 x 72 ) / 792
= 11 / 72
= 11
Step2:
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
= 1 / 31
= 1
Step3:
LCM(1, 52) = 52
GCD(1, 52) = ( 1 x 52 ) / 52
= 1 / 52
= 1
So, Greatest Common Divisor of 11, 72, 31, 52 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 11, 72, 31, 52
Given numbers are 11, 72, 31, 52
The greatest common divisor of numbers 11, 72, 31, 52 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 11, 72, 31, 52 is 1.
FAQs on GCD of 11, 72, 31, 52 Calculator
1. What is the GCD of 11, 72, 31, 52?
GCD of given numbers 11, 72, 31, 52 is 1
2. How to calculate the greatest common divisor of 11, 72, 31, 52?
We can find the highest common divisor of 11, 72, 31, 52 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 11, 72, 31, 52 i.e 1.
3. How can I use the GCD of 11, 72, 31, 52Calculator?
Out the numbers 11, 72, 31, 52 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.