GCD of 470, 575, 125, 676 Calculator

Given Input numbers are 470, 575, 125, 676

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 470, 575, 125, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 575, 125, 676 is 1.

Therefore, GCD of numbers 470, 575, 125, 676 is 1

Given Input Data is 470, 575, 125, 676

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 676 is 2 x 2 x 13 x 13

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(470, 575) = 54050

GCD(470, 575) = ( 470 x 575 ) / 54050

GCD(470, 575) = 270250 / 54050

GCD(470, 575) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 125

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

LCM(5, 125) = 125

GCD(5, 125) = ( 5 x 125 ) / 125

GCD(5, 125) = 625 / 125

GCD(5, 125) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 676

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

LCM(5, 676) = 3380

GCD(5, 676) = ( 5 x 676 ) / 3380

GCD(5, 676) = 3380 / 3380

GCD(5, 676) = 1

GCD of 470, 575, 125, 676 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 586, 551, 576, 112
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• GCD of 920, 275, 116, 724
• GCD of 708, 476, 885, 499
• GCD of 613, 451, 277, 785

1. What is the GCD of 470, 575, 125, 676?

GCD of 470, 575, 125, 676 is 1

2. Where do I get the detailed procedure to find GCD of 470, 575, 125, 676?

You can find a detailed procedure to find GCD of 470, 575, 125, 676 on our page.

3. How to find GCD of 470, 575, 125, 676 on a calculator?

You can find the GCD of 470, 575, 125, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.