GCD of 97, 54, 45, 10 Calculator

Given Input numbers are 97, 54, 45, 10

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

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

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 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 10

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

1, 2, 5, 10

Greatest Common Divisior

We found the divisors of 97, 54, 45, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 97, 54, 45, 10 is 1.

Therefore, GCD of numbers 97, 54, 45, 10 is 1

Given Input Data is 97, 54, 45, 10

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

Prime Factorization of 97 is 97

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 10 is 2 x 5

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(97, 54) = 5238

GCD(97, 54) = ( 97 x 54 ) / 5238

GCD(97, 54) = 5238 / 5238

GCD(97, 54) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

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

GCD of 97, 54, 45, 10 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 48, 30, 36, 64
• GCD of 70, 31, 75, 59
• GCD of 71, 35, 61, 73
• GCD of 50, 26, 68, 61
• GCD of 34, 56, 10, 38

1. What is the GCD of 97, 54, 45, 10?

GCD of 97, 54, 45, 10 is 1

2. Where do I get the detailed procedure to find GCD of 97, 54, 45, 10?

You can find a detailed procedure to find GCD of 97, 54, 45, 10 on our page.

3. How to find GCD of 97, 54, 45, 10 on a calculator?

You can find the GCD of 97, 54, 45, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.