GCD of 81, 100, 974, 348 Calculator

Given Input numbers are 81, 100, 974, 348

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

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 81, 100, 974, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 81, 100, 974, 348 is 1.

Therefore, GCD of numbers 81, 100, 974, 348 is 1

Given Input Data is 81, 100, 974, 348

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

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 974 is 2 x 487

Prime Factorization of 348 is 2 x 2 x 3 x 29

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(81, 100) = 8100

GCD(81, 100) = ( 81 x 100 ) / 8100

GCD(81, 100) = 8100 / 8100

GCD(81, 100) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

GCD of 81, 100, 974, 348 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 730, 513, 287
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• GCD of 22, 490, 444, 696

1. What is the GCD of 81, 100, 974, 348?

GCD of 81, 100, 974, 348 is 1

2. Where do I get the detailed procedure to find GCD of 81, 100, 974, 348?

You can find a detailed procedure to find GCD of 81, 100, 974, 348 on our page.

3. How to find GCD of 81, 100, 974, 348 on a calculator?

You can find the GCD of 81, 100, 974, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.