GCD of 18, 87, 75, 21 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 18, 87, 75, 21 quickly. Get the easiest ways to solve the greatest common divisor of 18, 87, 75, 21 i.e 3 in different methods as follows.
Given Input numbers are 18, 87, 75, 21
In the factoring method, we have to find the divisors of all numbers
Divisors of 18 :
The positive integer divisors of 18 that completely divides 18 are.
1, 2, 3, 6, 9, 18
Divisors of 87 :
The positive integer divisors of 87 that completely divides 87 are.
1, 3, 29, 87
Divisors of 75 :
The positive integer divisors of 75 that completely divides 75 are.
1, 3, 5, 15, 25, 75
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 (18, 87, 75, 21) = 3.
Given numbers are 18, 87, 75, 21
The list of prime factors of all numbers are
Prime factors of 18 are 2 x 3 x 3
Prime factors of 87 are 3 x 29
Prime factors of 75 are 3 x 5 x 5
Prime factors of 21 are 3 x 7
The highest common occurrence is 31
Therefore, GCD of 18, 87, 75, 21 is 3.
Steps to Calculate GCD of 18, 87, 75, 21 using LCM Formula
Given numbers are 18, 87, 75, 21
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(18, 87) = 522
GCD(18, 87) = ( 18 x 87 ) / 522
= 18 / 87
= 18
Step2:
LCM(3, 75) = 75
GCD(3, 75) = ( 3 x 75 ) / 75
= 3 / 75
= 3
Step3:
LCM(3, 21) = 21
GCD(3, 21) = ( 3 x 21 ) / 21
= 3 / 21
= 3
So, Greatest Common Divisor of 18, 87, 75, 21 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 18, 87, 75, 21
Given numbers are 18, 87, 75, 21
The greatest common divisor of numbers 18, 87, 75, 21 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 18, 87, 75, 21 is 3.
FAQs on GCD of 18, 87, 75, 21 Calculator
1. What is the GCD of 18, 87, 75, 21?
GCD of given numbers 18, 87, 75, 21 is 3
2. How to calculate the greatest common divisor of 18, 87, 75, 21?
We can find the highest common divisor of 18, 87, 75, 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 18, 87, 75, 21 i.e 3.
3. How can I use the GCD of 18, 87, 75, 21Calculator?
Out the numbers 18, 87, 75, 21 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.