GCD of 971, 405, 72 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 971, 405, 72 quickly. Get the easiest ways to solve the greatest common divisor of 971, 405, 72 i.e 1 in different methods as follows.
Given Input numbers are 971, 405, 72
In the factoring method, we have to find the divisors of all numbers
Divisors of 971 :
The positive integer divisors of 971 that completely divides 971 are.
1, 971
Divisors of 405 :
The positive integer divisors of 405 that completely divides 405 are.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
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 (971, 405, 72) = 1.
Given numbers are 971, 405, 72
The list of prime factors of all numbers are
Prime factors of 971 are 971
Prime factors of 405 are 3 x 3 x 3 x 3 x 5
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 971, 405, 72 using LCM Formula
Given numbers are 971, 405, 72
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(971, 405) = 393255
GCD(971, 405) = ( 971 x 405 ) / 393255
= 971 / 405
= 971
Step2:
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
= 1 / 72
= 1
So, Greatest Common Divisor of 971, 405, 72 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 971, 405, 72
Given numbers are 971, 405, 72
The greatest common divisor of numbers 971, 405, 72 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 971, 405, 72 is 1.
FAQs on GCD of 971, 405, 72 Calculator
1. What is the GCD of 971, 405, 72?
GCD of given numbers 971, 405, 72 is 1
2. How to calculate the greatest common divisor of 971, 405, 72?
We can find the highest common divisor of 971, 405, 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 971, 405, 72 i.e 1.
3. How can I use the GCD of 971, 405, 72Calculator?
Out the numbers 971, 405, 72 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.