GCD of 106, 253, 35, 186 Calculator

Given Input numbers are 106, 253, 35, 186

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 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Greatest Common Divisior

We found the divisors of 106, 253, 35, 186 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 253, 35, 186 is 1.

Therefore, GCD of numbers 106, 253, 35, 186 is 1

Given Input Data is 106, 253, 35, 186

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 253 is 11 x 23

Prime Factorization of 35 is 5 x 7

Prime Factorization of 186 is 2 x 3 x 31

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, 253) = 26818

GCD(106, 253) = ( 106 x 253 ) / 26818

GCD(106, 253) = 26818 / 26818

GCD(106, 253) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 186

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

LCM(1, 186) = 186

GCD(1, 186) = ( 1 x 186 ) / 186

GCD(1, 186) = 186 / 186

GCD(1, 186) = 1

GCD of 106, 253, 35, 186 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 597, 48, 460
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• GCD of 728, 673, 45, 313
• GCD of 311, 289, 70, 490

1. What is the GCD of 106, 253, 35, 186?

GCD of 106, 253, 35, 186 is 1

2. Where do I get the detailed procedure to find GCD of 106, 253, 35, 186?

You can find a detailed procedure to find GCD of 106, 253, 35, 186 on our page.

3. How to find GCD of 106, 253, 35, 186 on a calculator?

You can find the GCD of 106, 253, 35, 186 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.