GCD of 133, 412, 70, 254 Calculator

Given Input numbers are 133, 412, 70, 254

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

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 412

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

1, 2, 4, 103, 206, 412

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Greatest Common Divisior

We found the divisors of 133, 412, 70, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 412, 70, 254 is 1.

Therefore, GCD of numbers 133, 412, 70, 254 is 1

Given Input Data is 133, 412, 70, 254

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

Prime Factorization of 133 is 7 x 19

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 254 is 2 x 127

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(133, 412) = 54796

GCD(133, 412) = ( 133 x 412 ) / 54796

GCD(133, 412) = 54796 / 54796

GCD(133, 412) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 70

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

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

GCD(1, 70) = 70 / 70

GCD(1, 70) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 254

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

LCM(1, 254) = 254

GCD(1, 254) = ( 1 x 254 ) / 254

GCD(1, 254) = 254 / 254

GCD(1, 254) = 1

GCD of 133, 412, 70, 254 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 414, 799, 73, 422
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• GCD of 584, 595, 43, 265
• GCD of 976, 929, 91, 532

1. What is the GCD of 133, 412, 70, 254?

GCD of 133, 412, 70, 254 is 1

2. Where do I get the detailed procedure to find GCD of 133, 412, 70, 254?

You can find a detailed procedure to find GCD of 133, 412, 70, 254 on our page.

3. How to find GCD of 133, 412, 70, 254 on a calculator?

You can find the GCD of 133, 412, 70, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.