GCD of 16, 677, 972, 270 Calculator

Given Input numbers are 16, 677, 972, 270

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Greatest Common Divisior

We found the divisors of 16, 677, 972, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 677, 972, 270 is 1.

Therefore, GCD of numbers 16, 677, 972, 270 is 1

Given Input Data is 16, 677, 972, 270

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 677 is 677

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 270 is 2 x 3 x 3 x 3 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(16, 677) = 10832

GCD(16, 677) = ( 16 x 677 ) / 10832

GCD(16, 677) = 10832 / 10832

GCD(16, 677) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 270

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

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

GCD(1, 270) = 270 / 270

GCD(1, 270) = 1

GCD of 16, 677, 972, 270 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 29, 261, 484, 142
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• GCD of 40, 968, 955, 536

1. What is the GCD of 16, 677, 972, 270?

GCD of 16, 677, 972, 270 is 1

2. Where do I get the detailed procedure to find GCD of 16, 677, 972, 270?

You can find a detailed procedure to find GCD of 16, 677, 972, 270 on our page.

3. How to find GCD of 16, 677, 972, 270 on a calculator?

You can find the GCD of 16, 677, 972, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.