GCD of 66, 84, 48, 54 Calculator

Given Input numbers are 66, 84, 48, 54

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

Divisors of 66 :

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

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

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 48 :

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

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

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 (66, 84, 48, 54) = 6.

Given numbers are 66, 84, 48, 54

The list of prime factors of all numbers are

Prime factors of 66 are 2 x 3 x 11

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

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

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 66, 84, 48, 54 is 6.

Given numbers are 66, 84, 48, 54

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

Apply this formula for all numbers.

Step1:

LCM(66, 84) = 924

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

= 66 / 84

= 66

Step2:

LCM(6, 48) = 48

GCD(6, 48) = ( 6 x 48 ) / 48

= 6 / 48

= 6

Step3:

LCM(6, 54) = 54

GCD(6, 54) = ( 6 x 54 ) / 54

= 6 / 54

= 6

So, Greatest Common Divisor of 66, 84, 48, 54 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 17, 65, 34, 54
• GCD of 68, 87, 24, 12
• GCD of 13, 40, 14, 54
• GCD of 75, 54, 18, 81
• GCD of 10, 76, 35, 39

Given numbers are 66, 84, 48, 54
The greatest common divisor of numbers 66, 84, 48, 54 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 66, 84, 48, 54 is 6.

1. What is the GCD of 66, 84, 48, 54?

GCD of given numbers 66, 84, 48, 54 is 6

2. How to calculate the greatest common divisor of 66, 84, 48, 54?

We can find the highest common divisor of 66, 84, 48, 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 66, 84, 48, 54 i.e 6.

3. How can I use the GCD of 66, 84, 48, 54Calculator?

Out the numbers 66, 84, 48, 54 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.