GCD of 79, 34, 10, 54 Calculator

Given Input numbers are 79, 34, 10, 54

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

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

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 79, 34, 10, 54 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 79, 34, 10, 54 is 1.

Therefore, GCD of numbers 79, 34, 10, 54 is 1

Given Input Data is 79, 34, 10, 54

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

Prime Factorization of 79 is 79

Prime Factorization of 34 is 2 x 17

Prime Factorization of 10 is 2 x 5

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(79, 34) = 2686

GCD(79, 34) = ( 79 x 34 ) / 2686

GCD(79, 34) = 2686 / 2686

GCD(79, 34) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 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 79, 34, 10, 54 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 29, 37, 80, 79
• GCD of 71, 30, 32, 60
• GCD of 49, 44, 43, 80
• GCD of 70, 44, 76, 93
• GCD of 56, 89, 77, 40

1. What is the GCD of 79, 34, 10, 54?

GCD of 79, 34, 10, 54 is 1

2. Where do I get the detailed procedure to find GCD of 79, 34, 10, 54?

You can find a detailed procedure to find GCD of 79, 34, 10, 54 on our page.

3. How to find GCD of 79, 34, 10, 54 on a calculator?

You can find the GCD of 79, 34, 10, 54 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.