GCD of 77, 67, 99, 54 Calculator

Given Input numbers are 77, 67, 99, 54

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

Divisors of 77

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

1, 7, 11, 77

Divisors of 67

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

1, 67

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 54

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

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

Greatest Common Divisior

We found the divisors of 77, 67, 99, 54 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 67, 99, 54 is 1.

Therefore, GCD of numbers 77, 67, 99, 54 is 1

Given Input Data is 77, 67, 99, 54

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 67 is 67

Prime Factorization of 99 is 3 x 3 x 11

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

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(77, 67) = 5159

GCD(77, 67) = ( 77 x 67 ) / 5159

GCD(77, 67) = 5159 / 5159

GCD(77, 67) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

GCD of 77, 67, 99, 54 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 12, 79, 25
• GCD of 36, 83, 82, 73
• GCD of 98, 19, 56, 59
• GCD of 29, 79, 36, 97
• GCD of 16, 63, 96, 56

1. What is the GCD of 77, 67, 99, 54?

GCD of 77, 67, 99, 54 is 1

2. Where do I get the detailed procedure to find GCD of 77, 67, 99, 54?

You can find a detailed procedure to find GCD of 77, 67, 99, 54 on our page.

3. How to find GCD of 77, 67, 99, 54 on a calculator?

You can find the GCD of 77, 67, 99, 54 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.