GCD of 90, 18, 60, 21 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 90, 18, 60, 21 quickly. Get the easiest ways to solve the greatest common divisor of 90, 18, 60, 21 i.e 3 in different methods as follows.
Given Input numbers are 90, 18, 60, 21
In the factoring method, we have to find the divisors of all numbers
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 18 :
The positive integer divisors of 18 that completely divides 18 are.
1, 2, 3, 6, 9, 18
Divisors of 60 :
The positive integer divisors of 60 that completely divides 60 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 21 :
The positive integer divisors of 21 that completely divides 21 are.
1, 3, 7, 21
GCD of numbers is the greatest common divisor
So, the GCD (90, 18, 60, 21) = 3.
Given numbers are 90, 18, 60, 21
The list of prime factors of all numbers are
Prime factors of 90 are 2 x 3 x 3 x 5
Prime factors of 18 are 2 x 3 x 3
Prime factors of 60 are 2 x 2 x 3 x 5
Prime factors of 21 are 3 x 7
The highest common occurrence is 31
Therefore, GCD of 90, 18, 60, 21 is 3.
Steps to Calculate GCD of 90, 18, 60, 21 using LCM Formula
Given numbers are 90, 18, 60, 21
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(90, 18) = 90
GCD(90, 18) = ( 90 x 18 ) / 90
= 90 / 18
= 90
Step2:
LCM(18, 60) = 180
GCD(18, 60) = ( 18 x 60 ) / 180
= 18 / 60
= 18
Step3:
LCM(6, 21) = 42
GCD(6, 21) = ( 6 x 21 ) / 42
= 6 / 21
= 6
So, Greatest Common Divisor of 90, 18, 60, 21 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 90, 18, 60, 21
Given numbers are 90, 18, 60, 21
The greatest common divisor of numbers 90, 18, 60, 21 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 90, 18, 60, 21 is 3.
FAQs on GCD of 90, 18, 60, 21 Calculator
1. What is the GCD of 90, 18, 60, 21?
GCD of given numbers 90, 18, 60, 21 is 3
2. How to calculate the greatest common divisor of 90, 18, 60, 21?
We can find the highest common divisor of 90, 18, 60, 21 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 90, 18, 60, 21 i.e 3.
3. How can I use the GCD of 90, 18, 60, 21Calculator?
Out the numbers 90, 18, 60, 21 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.