GCD of 69, 625, 404, 466 Calculator

Given Input numbers are 69, 625, 404, 466

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

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 69, 625, 404, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 625, 404, 466 is 1.

Therefore, GCD of numbers 69, 625, 404, 466 is 1

Given Input Data is 69, 625, 404, 466

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 466 is 2 x 233

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(69, 625) = 43125

GCD(69, 625) = ( 69 x 625 ) / 43125

GCD(69, 625) = 43125 / 43125

GCD(69, 625) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 404

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

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

GCD(1, 404) = 404 / 404

GCD(1, 404) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 466

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

LCM(1, 466) = 466

GCD(1, 466) = ( 1 x 466 ) / 466

GCD(1, 466) = 466 / 466

GCD(1, 466) = 1

GCD of 69, 625, 404, 466 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 54, 702, 211, 261
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• GCD of 90, 608, 117, 387
• GCD of 14, 598, 395, 139
• GCD of 63, 478, 972, 595

1. What is the GCD of 69, 625, 404, 466?

GCD of 69, 625, 404, 466 is 1

2. Where do I get the detailed procedure to find GCD of 69, 625, 404, 466?

You can find a detailed procedure to find GCD of 69, 625, 404, 466 on our page.

3. How to find GCD of 69, 625, 404, 466 on a calculator?

You can find the GCD of 69, 625, 404, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.