GCD of 525, 183, 473, 146 Calculator

Given Input numbers are 525, 183, 473, 146

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

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Greatest Common Divisior

We found the divisors of 525, 183, 473, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 183, 473, 146 is 1.

Therefore, GCD of numbers 525, 183, 473, 146 is 1

Given Input Data is 525, 183, 473, 146

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

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 183 is 3 x 61

Prime Factorization of 473 is 11 x 43

Prime Factorization of 146 is 2 x 73

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(525, 183) = 32025

GCD(525, 183) = ( 525 x 183 ) / 32025

GCD(525, 183) = 96075 / 32025

GCD(525, 183) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 473

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

LCM(3, 473) = 1419

GCD(3, 473) = ( 3 x 473 ) / 1419

GCD(3, 473) = 1419 / 1419

GCD(3, 473) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 146

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

LCM(1, 146) = 146

GCD(1, 146) = ( 1 x 146 ) / 146

GCD(1, 146) = 146 / 146

GCD(1, 146) = 1

GCD of 525, 183, 473, 146 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 193, 753, 679, 825
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• GCD of 994, 776, 338, 546
• GCD of 322, 356, 165, 864
• GCD of 605, 915, 946, 170

1. What is the GCD of 525, 183, 473, 146?

GCD of 525, 183, 473, 146 is 1

2. Where do I get the detailed procedure to find GCD of 525, 183, 473, 146?

You can find a detailed procedure to find GCD of 525, 183, 473, 146 on our page.

3. How to find GCD of 525, 183, 473, 146 on a calculator?

You can find the GCD of 525, 183, 473, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.