GCD of 40, 12, 30, 64 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 40, 12, 30, 64 quickly. Get the easiest ways to solve the greatest common divisor of 40, 12, 30, 64 i.e 2 in different methods as follows.
Given Input numbers are 40, 12, 30, 64
In the factoring method, we have to find the divisors of all numbers
Divisors of 40 :
The positive integer divisors of 40 that completely divides 40 are.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 12 :
The positive integer divisors of 12 that completely divides 12 are.
1, 2, 3, 4, 6, 12
Divisors of 30 :
The positive integer divisors of 30 that completely divides 30 are.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 64 :
The positive integer divisors of 64 that completely divides 64 are.
1, 2, 4, 8, 16, 32, 64
GCD of numbers is the greatest common divisor
So, the GCD (40, 12, 30, 64) = 2.
Given numbers are 40, 12, 30, 64
The list of prime factors of all numbers are
Prime factors of 40 are 2 x 2 x 2 x 5
Prime factors of 12 are 2 x 2 x 3
Prime factors of 30 are 2 x 3 x 5
Prime factors of 64 are 2 x 2 x 2 x 2 x 2 x 2
The highest common occurrence is 21
Therefore, GCD of 40, 12, 30, 64 is 2.
Steps to Calculate GCD of 40, 12, 30, 64 using LCM Formula
Given numbers are 40, 12, 30, 64
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(40, 12) = 120
GCD(40, 12) = ( 40 x 12 ) / 120
= 40 / 12
= 40
Step2:
LCM(4, 30) = 60
GCD(4, 30) = ( 4 x 30 ) / 60
= 4 / 30
= 4
Step3:
LCM(2, 64) = 64
GCD(2, 64) = ( 2 x 64 ) / 64
= 2 / 64
= 2
So, Greatest Common Divisor of 40, 12, 30, 64 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 40, 12, 30, 64
Given numbers are 40, 12, 30, 64
The greatest common divisor of numbers 40, 12, 30, 64 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 40, 12, 30, 64 is 2.
FAQs on GCD of 40, 12, 30, 64 Calculator
1. What is the GCD of 40, 12, 30, 64?
GCD of given numbers 40, 12, 30, 64 is 2
2. How to calculate the greatest common divisor of 40, 12, 30, 64?
We can find the highest common divisor of 40, 12, 30, 64 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 40, 12, 30, 64 i.e 2.
3. How can I use the GCD of 40, 12, 30, 64Calculator?
Out the numbers 40, 12, 30, 64 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.