GCD of 57, 51, 54, 67 Calculator

Given Input numbers are 57, 51, 54, 67

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

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

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Greatest Common Divisior

We found the divisors of 57, 51, 54, 67 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 51, 54, 67 is 1.

Therefore, GCD of numbers 57, 51, 54, 67 is 1

Given Input Data is 57, 51, 54, 67

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 57 is 3 x 19

Prime Factorization of 51 is 3 x 17

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 67 is 67

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

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

LCM(57, 51) = 969

GCD(57, 51) = ( 57 x 51 ) / 969

GCD(57, 51) = 2907 / 969

GCD(57, 51) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 54

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

LCM(3, 54) = 54

GCD(3, 54) = ( 3 x 54 ) / 54

GCD(3, 54) = 162 / 54

GCD(3, 54) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 67

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

LCM(3, 67) = 201

GCD(3, 67) = ( 3 x 67 ) / 201

GCD(3, 67) = 201 / 201

GCD(3, 67) = 1

GCD of 57, 51, 54, 67 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 73, 10, 28, 23
• GCD of 52, 65, 37, 51
• GCD of 71, 13, 94, 11
• GCD of 53, 20, 19, 23
• GCD of 84, 56, 77, 38

1. What is the GCD of 57, 51, 54, 67?

GCD of 57, 51, 54, 67 is 1

2. Where do I get the detailed procedure to find GCD of 57, 51, 54, 67?

You can find a detailed procedure to find GCD of 57, 51, 54, 67 on our page.

3. How to find GCD of 57, 51, 54, 67 on a calculator?

You can find the GCD of 57, 51, 54, 67 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.