GCD of 175, 408, 469, 134 Calculator

Given Input numbers are 175, 408, 469, 134

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

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Greatest Common Divisior

We found the divisors of 175, 408, 469, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 175, 408, 469, 134 is 1.

Therefore, GCD of numbers 175, 408, 469, 134 is 1

Given Input Data is 175, 408, 469, 134

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

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 469 is 7 x 67

Prime Factorization of 134 is 2 x 67

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(175, 408) = 71400

GCD(175, 408) = ( 175 x 408 ) / 71400

GCD(175, 408) = 71400 / 71400

GCD(175, 408) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 469

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

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

GCD(1, 469) = 469 / 469

GCD(1, 469) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 134

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

LCM(1, 134) = 134

GCD(1, 134) = ( 1 x 134 ) / 134

GCD(1, 134) = 134 / 134

GCD(1, 134) = 1

GCD of 175, 408, 469, 134 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 956, 868, 663, 355
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• GCD of 477, 552, 143, 108

1. What is the GCD of 175, 408, 469, 134?

GCD of 175, 408, 469, 134 is 1

2. Where do I get the detailed procedure to find GCD of 175, 408, 469, 134?

You can find a detailed procedure to find GCD of 175, 408, 469, 134 on our page.

3. How to find GCD of 175, 408, 469, 134 on a calculator?

You can find the GCD of 175, 408, 469, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.