GCD of 67, 54, 84, 77 Calculator

Given Input numbers are 67, 54, 84, 77

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

Divisors of 67

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

1, 67

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 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Greatest Common Divisior

We found the divisors of 67, 54, 84, 77 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 54, 84, 77 is 1.

Therefore, GCD of numbers 67, 54, 84, 77 is 1

Given Input Data is 67, 54, 84, 77

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

Prime Factorization of 67 is 67

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 77 is 7 x 11

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(67, 54) = 3618

GCD(67, 54) = ( 67 x 54 ) / 3618

GCD(67, 54) = 3618 / 3618

GCD(67, 54) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

GCD of 67, 54, 84, 77 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 49, 87, 69
• GCD of 24, 40, 15, 77
• GCD of 71, 26, 62, 82
• GCD of 71, 91, 15, 51
• GCD of 29, 84, 96, 33

1. What is the GCD of 67, 54, 84, 77?

GCD of 67, 54, 84, 77 is 1

2. Where do I get the detailed procedure to find GCD of 67, 54, 84, 77?

You can find a detailed procedure to find GCD of 67, 54, 84, 77 on our page.

3. How to find GCD of 67, 54, 84, 77 on a calculator?

You can find the GCD of 67, 54, 84, 77 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.