GCD of 99, 69, 31, 72 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 99, 69, 31, 72 quickly. Get the easiest ways to solve the greatest common divisor of 99, 69, 31, 72 i.e 1 in different methods as follows.
Given Input numbers are 99, 69, 31, 72
In the factoring method, we have to find the divisors of all numbers
Divisors of 99 :
The positive integer divisors of 99 that completely divides 99 are.
1, 3, 9, 11, 33, 99
Divisors of 69 :
The positive integer divisors of 69 that completely divides 69 are.
1, 3, 23, 69
Divisors of 31 :
The positive integer divisors of 31 that completely divides 31 are.
1, 31
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
GCD of numbers is the greatest common divisor
So, the GCD (99, 69, 31, 72) = 1.
Given numbers are 99, 69, 31, 72
The list of prime factors of all numbers are
Prime factors of 99 are 3 x 3 x 11
Prime factors of 69 are 3 x 23
Prime factors of 31 are 31
Prime factors of 72 are 2 x 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 99, 69, 31, 72 using LCM Formula
Given numbers are 99, 69, 31, 72
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(99, 69) = 2277
GCD(99, 69) = ( 99 x 69 ) / 2277
= 99 / 69
= 99
Step2:
LCM(3, 31) = 93
GCD(3, 31) = ( 3 x 31 ) / 93
= 3 / 31
= 3
Step3:
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
= 1 / 72
= 1
So, Greatest Common Divisor of 99, 69, 31, 72 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 99, 69, 31, 72
Given numbers are 99, 69, 31, 72
The greatest common divisor of numbers 99, 69, 31, 72 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 99, 69, 31, 72 is 1.
FAQs on GCD of 99, 69, 31, 72 Calculator
1. What is the GCD of 99, 69, 31, 72?
GCD of given numbers 99, 69, 31, 72 is 1
2. How to calculate the greatest common divisor of 99, 69, 31, 72?
We can find the highest common divisor of 99, 69, 31, 72 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 99, 69, 31, 72 i.e 1.
3. How can I use the GCD of 99, 69, 31, 72Calculator?
Out the numbers 99, 69, 31, 72 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.