GCD of 174, 510, 261, 525 Calculator

Given Input numbers are 174, 510, 261, 525

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

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

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

Greatest Common Divisior

We found the divisors of 174, 510, 261, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 510, 261, 525 is 3.

Therefore, GCD of numbers 174, 510, 261, 525 is 3

Given Input Data is 174, 510, 261, 525

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

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 261 is 3 x 3 x 29

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(174, 510) = 14790

GCD(174, 510) = ( 174 x 510 ) / 14790

GCD(174, 510) = 88740 / 14790

GCD(174, 510) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 261

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

LCM(6, 261) = 522

GCD(6, 261) = ( 6 x 261 ) / 522

GCD(6, 261) = 1566 / 522

GCD(6, 261) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 525

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

LCM(3, 525) = 525

GCD(3, 525) = ( 3 x 525 ) / 525

GCD(3, 525) = 1575 / 525

GCD(3, 525) = 3

GCD of 174, 510, 261, 525 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 162, 776, 933, 157
• GCD of 681, 262, 710, 372
• GCD of 772, 630, 434, 710
• GCD of 271, 437, 201, 549
• GCD of 613, 403, 435, 730

1. What is the GCD of 174, 510, 261, 525?

GCD of 174, 510, 261, 525 is 3

2. Where do I get the detailed procedure to find GCD of 174, 510, 261, 525?

You can find a detailed procedure to find GCD of 174, 510, 261, 525 on our page.

3. How to find GCD of 174, 510, 261, 525 on a calculator?

You can find the GCD of 174, 510, 261, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.