GCD of 52, 84, 40, 30 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 52, 84, 40, 30 quickly. Get the easiest ways to solve the greatest common divisor of 52, 84, 40, 30 i.e 2 in different methods as follows.
Given Input numbers are 52, 84, 40, 30
In the factoring method, we have to find the divisors of all numbers
Divisors of 52 :
The positive integer divisors of 52 that completely divides 52 are.
1, 2, 4, 13, 26, 52
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 40 :
The positive integer divisors of 40 that completely divides 40 are.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 30 :
The positive integer divisors of 30 that completely divides 30 are.
1, 2, 3, 5, 6, 10, 15, 30
GCD of numbers is the greatest common divisor
So, the GCD (52, 84, 40, 30) = 2.
Given numbers are 52, 84, 40, 30
The list of prime factors of all numbers are
Prime factors of 52 are 2 x 2 x 13
Prime factors of 84 are 2 x 2 x 3 x 7
Prime factors of 40 are 2 x 2 x 2 x 5
Prime factors of 30 are 2 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 52, 84, 40, 30 is 2.
Steps to Calculate GCD of 52, 84, 40, 30 using LCM Formula
Given numbers are 52, 84, 40, 30
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(52, 84) = 1092
GCD(52, 84) = ( 52 x 84 ) / 1092
= 52 / 84
= 52
Step2:
LCM(4, 40) = 40
GCD(4, 40) = ( 4 x 40 ) / 40
= 4 / 40
= 4
Step3:
LCM(4, 30) = 60
GCD(4, 30) = ( 4 x 30 ) / 60
= 4 / 30
= 4
So, Greatest Common Divisor of 52, 84, 40, 30 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 52, 84, 40, 30
Given numbers are 52, 84, 40, 30
The greatest common divisor of numbers 52, 84, 40, 30 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 52, 84, 40, 30 is 2.
FAQs on GCD of 52, 84, 40, 30 Calculator
1. What is the GCD of 52, 84, 40, 30?
GCD of given numbers 52, 84, 40, 30 is 2
2. How to calculate the greatest common divisor of 52, 84, 40, 30?
We can find the highest common divisor of 52, 84, 40, 30 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 52, 84, 40, 30 i.e 2.
3. How can I use the GCD of 52, 84, 40, 30Calculator?
Out the numbers 52, 84, 40, 30 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.