GCD of 75, 87, 90, 60 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 75, 87, 90, 60 quickly. Get the easiest ways to solve the greatest common divisor of 75, 87, 90, 60 i.e 3 in different methods as follows.
Given Input numbers are 75, 87, 90, 60
In the factoring method, we have to find the divisors of all numbers
Divisors of 75 :
The positive integer divisors of 75 that completely divides 75 are.
1, 3, 5, 15, 25, 75
Divisors of 87 :
The positive integer divisors of 87 that completely divides 87 are.
1, 3, 29, 87
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 60 :
The positive integer divisors of 60 that completely divides 60 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
GCD of numbers is the greatest common divisor
So, the GCD (75, 87, 90, 60) = 3.
Given numbers are 75, 87, 90, 60
The list of prime factors of all numbers are
Prime factors of 75 are 3 x 5 x 5
Prime factors of 87 are 3 x 29
Prime factors of 90 are 2 x 3 x 3 x 5
Prime factors of 60 are 2 x 2 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 75, 87, 90, 60 is 3.
Steps to Calculate GCD of 75, 87, 90, 60 using LCM Formula
Given numbers are 75, 87, 90, 60
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(75, 87) = 2175
GCD(75, 87) = ( 75 x 87 ) / 2175
= 75 / 87
= 75
Step2:
LCM(3, 90) = 90
GCD(3, 90) = ( 3 x 90 ) / 90
= 3 / 90
= 3
Step3:
LCM(3, 60) = 60
GCD(3, 60) = ( 3 x 60 ) / 60
= 3 / 60
= 3
So, Greatest Common Divisor of 75, 87, 90, 60 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 75, 87, 90, 60
Given numbers are 75, 87, 90, 60
The greatest common divisor of numbers 75, 87, 90, 60 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 75, 87, 90, 60 is 3.
FAQs on GCD of 75, 87, 90, 60 Calculator
1. What is the GCD of 75, 87, 90, 60?
GCD of given numbers 75, 87, 90, 60 is 3
2. How to calculate the greatest common divisor of 75, 87, 90, 60?
We can find the highest common divisor of 75, 87, 90, 60 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 75, 87, 90, 60 i.e 3.
3. How can I use the GCD of 75, 87, 90, 60Calculator?
Out the numbers 75, 87, 90, 60 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.