GCD of 50, 40, 84, 20 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 50, 40, 84, 20 quickly. Get the easiest ways to solve the greatest common divisor of 50, 40, 84, 20 i.e 2 in different methods as follows.
Given Input numbers are 50, 40, 84, 20
In the factoring method, we have to find the divisors of all numbers
Divisors of 50 :
The positive integer divisors of 50 that completely divides 50 are.
1, 2, 5, 10, 25, 50
Divisors of 40 :
The positive integer divisors of 40 that completely divides 40 are.
1, 2, 4, 5, 8, 10, 20, 40
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 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 (50, 40, 84, 20) = 2.
Given numbers are 50, 40, 84, 20
The list of prime factors of all numbers are
Prime factors of 50 are 2 x 5 x 5
Prime factors of 40 are 2 x 2 x 2 x 5
Prime factors of 84 are 2 x 2 x 3 x 7
Prime factors of 20 are 2 x 2 x 5
The highest common occurrence is 21
Therefore, GCD of 50, 40, 84, 20 is 2.
Steps to Calculate GCD of 50, 40, 84, 20 using LCM Formula
Given numbers are 50, 40, 84, 20
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(50, 40) = 200
GCD(50, 40) = ( 50 x 40 ) / 200
= 50 / 40
= 50
Step2:
LCM(10, 84) = 420
GCD(10, 84) = ( 10 x 84 ) / 420
= 10 / 84
= 10
Step3:
LCM(2, 20) = 20
GCD(2, 20) = ( 2 x 20 ) / 20
= 2 / 20
= 2
So, Greatest Common Divisor of 50, 40, 84, 20 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 50, 40, 84, 20
Given numbers are 50, 40, 84, 20
The greatest common divisor of numbers 50, 40, 84, 20 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 50, 40, 84, 20 is 2.
FAQs on GCD of 50, 40, 84, 20 Calculator
1. What is the GCD of 50, 40, 84, 20?
GCD of given numbers 50, 40, 84, 20 is 2
2. How to calculate the greatest common divisor of 50, 40, 84, 20?
We can find the highest common divisor of 50, 40, 84, 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 50, 40, 84, 20 i.e 2.
3. How can I use the GCD of 50, 40, 84, 20Calculator?
Out the numbers 50, 40, 84, 20 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.