GCD of 78, 84, 90, 40 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 78, 84, 90, 40 quickly. Get the easiest ways to solve the greatest common divisor of 78, 84, 90, 40 i.e 2 in different methods as follows.
Given Input numbers are 78, 84, 90, 40
In the factoring method, we have to find the divisors of all numbers
Divisors of 78 :
The positive integer divisors of 78 that completely divides 78 are.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 84 :
The positive integer divisors of 84 that completely divides 84 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
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 40 :
The positive integer divisors of 40 that completely divides 40 are.
1, 2, 4, 5, 8, 10, 20, 40
GCD of numbers is the greatest common divisor
So, the GCD (78, 84, 90, 40) = 2.
Given numbers are 78, 84, 90, 40
The list of prime factors of all numbers are
Prime factors of 78 are 2 x 3 x 13
Prime factors of 84 are 2 x 2 x 3 x 7
Prime factors of 90 are 2 x 3 x 3 x 5
Prime factors of 40 are 2 x 2 x 2 x 5
The highest common occurrence is 21
Therefore, GCD of 78, 84, 90, 40 is 2.
Steps to Calculate GCD of 78, 84, 90, 40 using LCM Formula
Given numbers are 78, 84, 90, 40
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(78, 84) = 1092
GCD(78, 84) = ( 78 x 84 ) / 1092
= 78 / 84
= 78
Step2:
LCM(6, 90) = 90
GCD(6, 90) = ( 6 x 90 ) / 90
= 6 / 90
= 6
Step3:
LCM(6, 40) = 120
GCD(6, 40) = ( 6 x 40 ) / 120
= 6 / 40
= 6
So, Greatest Common Divisor of 78, 84, 90, 40 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 78, 84, 90, 40
Given numbers are 78, 84, 90, 40
The greatest common divisor of numbers 78, 84, 90, 40 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 78, 84, 90, 40 is 2.
FAQs on GCD of 78, 84, 90, 40 Calculator
1. What is the GCD of 78, 84, 90, 40?
GCD of given numbers 78, 84, 90, 40 is 2
2. How to calculate the greatest common divisor of 78, 84, 90, 40?
We can find the highest common divisor of 78, 84, 90, 40 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 78, 84, 90, 40 i.e 2.
3. How can I use the GCD of 78, 84, 90, 40Calculator?
Out the numbers 78, 84, 90, 40 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.