GCD of 73, 30, 90, 14 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 73, 30, 90, 14 quickly. Get the easiest ways to solve the greatest common divisor of 73, 30, 90, 14 i.e 1 in different methods as follows.
Given Input numbers are 73, 30, 90, 14
In the factoring method, we have to find the divisors of all numbers
Divisors of 73 :
The positive integer divisors of 73 that completely divides 73 are.
1, 73
Divisors of 30 :
The positive integer divisors of 30 that completely divides 30 are.
1, 2, 3, 5, 6, 10, 15, 30
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
Divisors of 14 :
The positive integer divisors of 14 that completely divides 14 are.
1, 2, 7, 14
GCD of numbers is the greatest common divisor
So, the GCD (73, 30, 90, 14) = 1.
Given numbers are 73, 30, 90, 14
The list of prime factors of all numbers are
Prime factors of 73 are 73
Prime factors of 30 are 2 x 3 x 5
Prime factors of 90 are 2 x 3 x 3 x 5
Prime factors of 14 are 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 73, 30, 90, 14 using LCM Formula
Given numbers are 73, 30, 90, 14
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(73, 30) = 2190
GCD(73, 30) = ( 73 x 30 ) / 2190
= 73 / 30
= 73
Step2:
LCM(1, 90) = 90
GCD(1, 90) = ( 1 x 90 ) / 90
= 1 / 90
= 1
Step3:
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
= 1 / 14
= 1
So, Greatest Common Divisor of 73, 30, 90, 14 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 73, 30, 90, 14
Given numbers are 73, 30, 90, 14
The greatest common divisor of numbers 73, 30, 90, 14 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 73, 30, 90, 14 is 1.
FAQs on GCD of 73, 30, 90, 14 Calculator
1. What is the GCD of 73, 30, 90, 14?
GCD of given numbers 73, 30, 90, 14 is 1
2. How to calculate the greatest common divisor of 73, 30, 90, 14?
We can find the highest common divisor of 73, 30, 90, 14 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 73, 30, 90, 14 i.e 1.
3. How can I use the GCD of 73, 30, 90, 14Calculator?
Out the numbers 73, 30, 90, 14 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.