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GCD of 40, 48, 86, 84 Calculator

Online GCD Calculator is useful to find the GCD of 40, 48, 86, 84 quickly. Get the easiest ways to solve the greatest common divisor of 40, 48, 86, 84 i.e 2 in different methods as follows.

GCD of

Greatest Common Divisor of 40, 48, 86, 84

Given numbers are 40, 48, 86, 84
The greatest common divisor of numbers 40, 48, 86, 84 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 40, 48, 86, 84 is 2.

How to Find GCD of Numbers 40, 48, 86, 84 with Factoring?

Given Input numbers are 40, 48, 86, 84

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 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 86 :

The positive integer divisors of 86 that completely divides 86 are.

1, 2, 43, 86

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


GCD of numbers is the greatest common divisor

So, the GCD (40, 48, 86, 84) = 2.

Find GCD of 40, 48, 86, 84 using Prime Factorization

Given numbers are 40, 48, 86, 84

The list of prime factors of all numbers are

Prime factors of 40 are 2 x 2 x 2 x 5

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

Prime factors of 86 are 2 x 43

Prime factors of 84 are 2 x 2 x 3 x 7

The highest common occurrence is 21

Therefore, GCD of 40, 48, 86, 84 is 2.

Steps to Calculate GCD of 40, 48, 86, 84 using LCM Formula

Given numbers are 40, 48, 86, 84

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(40, 48) = 240

GCD(40, 48) = ( 40 x 48 ) / 240

= 40 / 48

= 40


Step2:

LCM(8, 86) = 344

GCD(8, 86) = ( 8 x 86 ) / 344

= 8 / 86

= 8


Step3:

LCM(2, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

= 2 / 84

= 2


So, Greatest Common Divisor of 40, 48, 86, 84 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of 40, 48, 86, 84 Calculator

1. What is the GCD of 40, 48, 86, 84?

GCD of given numbers 40, 48, 86, 84 is 2


2. How to calculate the greatest common divisor of 40, 48, 86, 84?

We can find the highest common divisor of 40, 48, 86, 84 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, 48, 86, 84 i.e 2.


3. How can I use the GCD of 40, 48, 86, 84Calculator?

Out the numbers 40, 48, 86, 84 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.