GCD of 106, 948, 97, 412 Calculator

Given Input numbers are 106, 948, 97, 412

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 97

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

1, 97

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 106, 948, 97, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 948, 97, 412 is 1.

Therefore, GCD of numbers 106, 948, 97, 412 is 1

Given Input Data is 106, 948, 97, 412

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 97 is 97

Prime Factorization of 412 is 2 x 2 x 103

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(106, 948) = 50244

GCD(106, 948) = ( 106 x 948 ) / 50244

GCD(106, 948) = 100488 / 50244

GCD(106, 948) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 97

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

LCM(2, 97) = 194

GCD(2, 97) = ( 2 x 97 ) / 194

GCD(2, 97) = 194 / 194

GCD(2, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

GCD of 106, 948, 97, 412 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 811, 298, 25, 342
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• GCD of 820, 190, 11, 211
• GCD of 818, 521, 83, 681
• GCD of 939, 338, 88, 851

1. What is the GCD of 106, 948, 97, 412?

GCD of 106, 948, 97, 412 is 1

2. Where do I get the detailed procedure to find GCD of 106, 948, 97, 412?

You can find a detailed procedure to find GCD of 106, 948, 97, 412 on our page.

3. How to find GCD of 106, 948, 97, 412 on a calculator?

You can find the GCD of 106, 948, 97, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.