GCD of 469, 657, 301, 138 Calculator

Given Input numbers are 469, 657, 301, 138

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

Divisors of 469

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

1, 7, 67, 469

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 469, 657, 301, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 469, 657, 301, 138 is 1.

Therefore, GCD of numbers 469, 657, 301, 138 is 1

Given Input Data is 469, 657, 301, 138

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

Prime Factorization of 469 is 7 x 67

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 301 is 7 x 43

Prime Factorization of 138 is 2 x 3 x 23

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(469, 657) = 308133

GCD(469, 657) = ( 469 x 657 ) / 308133

GCD(469, 657) = 308133 / 308133

GCD(469, 657) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 301

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

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

GCD(1, 301) = 301 / 301

GCD(1, 301) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 469, 657, 301, 138 is 1

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• GCD of 175, 989, 180, 963
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• GCD of 185, 166, 670, 239

1. What is the GCD of 469, 657, 301, 138?

GCD of 469, 657, 301, 138 is 1

2. Where do I get the detailed procedure to find GCD of 469, 657, 301, 138?

You can find a detailed procedure to find GCD of 469, 657, 301, 138 on our page.

3. How to find GCD of 469, 657, 301, 138 on a calculator?

You can find the GCD of 469, 657, 301, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.