GCD of 475, 825, 89, 142 Calculator

Given Input numbers are 475, 825, 89, 142

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

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 475, 825, 89, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 825, 89, 142 is 1.

Therefore, GCD of numbers 475, 825, 89, 142 is 1

Given Input Data is 475, 825, 89, 142

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

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 89 is 89

Prime Factorization of 142 is 2 x 71

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(475, 825) = 15675

GCD(475, 825) = ( 475 x 825 ) / 15675

GCD(475, 825) = 391875 / 15675

GCD(475, 825) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 89

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

LCM(25, 89) = 2225

GCD(25, 89) = ( 25 x 89 ) / 2225

GCD(25, 89) = 2225 / 2225

GCD(25, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 475, 825, 89, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 831, 122, 11, 316
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• GCD of 632, 847, 23, 866
• GCD of 536, 649, 73, 524
• GCD of 604, 140, 86, 826

1. What is the GCD of 475, 825, 89, 142?

GCD of 475, 825, 89, 142 is 1

2. Where do I get the detailed procedure to find GCD of 475, 825, 89, 142?

You can find a detailed procedure to find GCD of 475, 825, 89, 142 on our page.

3. How to find GCD of 475, 825, 89, 142 on a calculator?

You can find the GCD of 475, 825, 89, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.