GCD of 495, 371, 731 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 495, 371, 731 quickly. Get the easiest ways to solve the greatest common divisor of 495, 371, 731 i.e 1 in different methods as follows.
Given Input numbers are 495, 371, 731
In the factoring method, we have to find the divisors of all numbers
Divisors of 495 :
The positive integer divisors of 495 that completely divides 495 are.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 371 :
The positive integer divisors of 371 that completely divides 371 are.
1, 7, 53, 371
Divisors of 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
GCD of numbers is the greatest common divisor
So, the GCD (495, 371, 731) = 1.
Given numbers are 495, 371, 731
The list of prime factors of all numbers are
Prime factors of 495 are 3 x 3 x 5 x 11
Prime factors of 371 are 7 x 53
Prime factors of 731 are 17 x 43
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 495, 371, 731 using LCM Formula
Given numbers are 495, 371, 731
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(495, 371) = 183645
GCD(495, 371) = ( 495 x 371 ) / 183645
= 495 / 371
= 495
Step2:
LCM(1, 731) = 731
GCD(1, 731) = ( 1 x 731 ) / 731
= 1 / 731
= 1
So, Greatest Common Divisor of 495, 371, 731 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 495, 371, 731
Given numbers are 495, 371, 731
The greatest common divisor of numbers 495, 371, 731 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 495, 371, 731 is 1.
FAQs on GCD of 495, 371, 731 Calculator
1. What is the GCD of 495, 371, 731?
GCD of given numbers 495, 371, 731 is 1
2. How to calculate the greatest common divisor of 495, 371, 731?
We can find the highest common divisor of 495, 371, 731 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 495, 371, 731 i.e 1.
3. How can I use the GCD of 495, 371, 731Calculator?
Out the numbers 495, 371, 731 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.