GCD of 507, 364, 90 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 507, 364, 90 quickly. Get the easiest ways to solve the greatest common divisor of 507, 364, 90 i.e 1 in different methods as follows.
Given Input numbers are 507, 364, 90
In the factoring method, we have to find the divisors of all numbers
Divisors of 507 :
The positive integer divisors of 507 that completely divides 507 are.
1, 3, 13, 39, 169, 507
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 90 :
The positive integer divisors of 90 that completely divides 90 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
GCD of numbers is the greatest common divisor
So, the GCD (507, 364, 90) = 1.
Given numbers are 507, 364, 90
The list of prime factors of all numbers are
Prime factors of 507 are 3 x 13 x 13
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 90 are 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 507, 364, 90 using LCM Formula
Given numbers are 507, 364, 90
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(507, 364) = 14196
GCD(507, 364) = ( 507 x 364 ) / 14196
= 507 / 364
= 507
Step2:
LCM(13, 90) = 1170
GCD(13, 90) = ( 13 x 90 ) / 1170
= 13 / 90
= 13
So, Greatest Common Divisor of 507, 364, 90 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 507, 364, 90
Given numbers are 507, 364, 90
The greatest common divisor of numbers 507, 364, 90 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 507, 364, 90 is 1.
FAQs on GCD of 507, 364, 90 Calculator
1. What is the GCD of 507, 364, 90?
GCD of given numbers 507, 364, 90 is 1
2. How to calculate the greatest common divisor of 507, 364, 90?
We can find the highest common divisor of 507, 364, 90 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 507, 364, 90 i.e 1.
3. How can I use the GCD of 507, 364, 90Calculator?
Out the numbers 507, 364, 90 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.