GCD of 48, 525, 462, 172 Calculator

Given Input numbers are 48, 525, 462, 172

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

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 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 48, 525, 462, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 525, 462, 172 is 1.

Therefore, GCD of numbers 48, 525, 462, 172 is 1

Given Input Data is 48, 525, 462, 172

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 172 is 2 x 2 x 43

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(48, 525) = 8400

GCD(48, 525) = ( 48 x 525 ) / 8400

GCD(48, 525) = 25200 / 8400

GCD(48, 525) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 462

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

LCM(3, 462) = 462

GCD(3, 462) = ( 3 x 462 ) / 462

GCD(3, 462) = 1386 / 462

GCD(3, 462) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 172

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

LCM(3, 172) = 516

GCD(3, 172) = ( 3 x 172 ) / 516

GCD(3, 172) = 516 / 516

GCD(3, 172) = 1

GCD of 48, 525, 462, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 41, 351, 281, 615
• GCD of 25, 421, 619, 278
• GCD of 35, 550, 809, 870
• GCD of 53, 642, 532, 574
• GCD of 63, 458, 925, 950

1. What is the GCD of 48, 525, 462, 172?

GCD of 48, 525, 462, 172 is 1

2. Where do I get the detailed procedure to find GCD of 48, 525, 462, 172?

You can find a detailed procedure to find GCD of 48, 525, 462, 172 on our page.

3. How to find GCD of 48, 525, 462, 172 on a calculator?

You can find the GCD of 48, 525, 462, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.