GCD of 84, 66, 80, 54 Calculator

Given Input numbers are 84, 66, 80, 54

In the factoring method, we have to find the divisors of all numbers

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 66 :

The positive integer divisors of 66 that completely divides 66 are.

1, 2, 3, 6, 11, 22, 33, 66

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 54 :

The positive integer divisors of 54 that completely divides 54 are.

1, 2, 3, 6, 9, 18, 27, 54

GCD of numbers is the greatest common divisor

So, the GCD (84, 66, 80, 54) = 2.

Given numbers are 84, 66, 80, 54

The list of prime factors of all numbers are

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

Prime factors of 66 are 2 x 3 x 11

Prime factors of 80 are 2 x 2 x 2 x 2 x 5

Prime factors of 54 are 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 84, 66, 80, 54 is 2.

Given numbers are 84, 66, 80, 54

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

Apply this formula for all numbers.

Step1:

LCM(84, 66) = 924

GCD(84, 66) = ( 84 x 66 ) / 924

= 84 / 66

= 84

Step2:

LCM(6, 80) = 240

GCD(6, 80) = ( 6 x 80 ) / 240

= 6 / 80

= 6

Step3:

LCM(2, 54) = 54

GCD(2, 54) = ( 2 x 54 ) / 54

= 2 / 54

= 2

So, Greatest Common Divisor of 84, 66, 80, 54 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 85, 65, 33
• GCD of 23, 38, 66, 23
• GCD of 22, 54, 92, 77
• GCD of 70, 68, 48, 52
• GCD of 76, 75, 96, 65

Given numbers are 84, 66, 80, 54
The greatest common divisor of numbers 84, 66, 80, 54 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 84, 66, 80, 54 is 2.

1. What is the GCD of 84, 66, 80, 54?

GCD of given numbers 84, 66, 80, 54 is 2

2. How to calculate the greatest common divisor of 84, 66, 80, 54?

We can find the highest common divisor of 84, 66, 80, 54 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 84, 66, 80, 54 i.e 2.

3. How can I use the GCD of 84, 66, 80, 54Calculator?

Out the numbers 84, 66, 80, 54 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.