GCD of 80, 84, 78, 20 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 80, 84, 78, 20 quickly. Get the easiest ways to solve the greatest common divisor of 80, 84, 78, 20 i.e 2 in different methods as follows.
Given Input numbers are 80, 84, 78, 20
In the factoring method, we have to find the divisors of all numbers
Divisors of 80 :
The positive integer divisors of 80 that completely divides 80 are.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
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 78 :
The positive integer divisors of 78 that completely divides 78 are.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 20 :
The positive integer divisors of 20 that completely divides 20 are.
1, 2, 4, 5, 10, 20
GCD of numbers is the greatest common divisor
So, the GCD (80, 84, 78, 20) = 2.
Given numbers are 80, 84, 78, 20
The list of prime factors of all numbers are
Prime factors of 80 are 2 x 2 x 2 x 2 x 5
Prime factors of 84 are 2 x 2 x 3 x 7
Prime factors of 78 are 2 x 3 x 13
Prime factors of 20 are 2 x 2 x 5
The highest common occurrence is 21
Therefore, GCD of 80, 84, 78, 20 is 2.
Steps to Calculate GCD of 80, 84, 78, 20 using LCM Formula
Given numbers are 80, 84, 78, 20
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(80, 84) = 1680
GCD(80, 84) = ( 80 x 84 ) / 1680
= 80 / 84
= 80
Step2:
LCM(4, 78) = 156
GCD(4, 78) = ( 4 x 78 ) / 156
= 4 / 78
= 4
Step3:
LCM(2, 20) = 20
GCD(2, 20) = ( 2 x 20 ) / 20
= 2 / 20
= 2
So, Greatest Common Divisor of 80, 84, 78, 20 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 80, 84, 78, 20
Given numbers are 80, 84, 78, 20
The greatest common divisor of numbers 80, 84, 78, 20 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 80, 84, 78, 20 is 2.
FAQs on GCD of 80, 84, 78, 20 Calculator
1. What is the GCD of 80, 84, 78, 20?
GCD of given numbers 80, 84, 78, 20 is 2
2. How to calculate the greatest common divisor of 80, 84, 78, 20?
We can find the highest common divisor of 80, 84, 78, 20 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 80, 84, 78, 20 i.e 2.
3. How can I use the GCD of 80, 84, 78, 20Calculator?
Out the numbers 80, 84, 78, 20 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.