GCD of 510, 172, 267, 429 Calculator

Given Input numbers are 510, 172, 267, 429

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

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 172

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

1, 2, 4, 43, 86, 172

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Greatest Common Divisior

We found the divisors of 510, 172, 267, 429 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 172, 267, 429 is 1.

Therefore, GCD of numbers 510, 172, 267, 429 is 1

Given Input Data is 510, 172, 267, 429

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

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

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 267 is 3 x 89

Prime Factorization of 429 is 3 x 11 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(510, 172) = 43860

GCD(510, 172) = ( 510 x 172 ) / 43860

GCD(510, 172) = 87720 / 43860

GCD(510, 172) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 267

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

LCM(2, 267) = 534

GCD(2, 267) = ( 2 x 267 ) / 534

GCD(2, 267) = 534 / 534

GCD(2, 267) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 429

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

LCM(1, 429) = 429

GCD(1, 429) = ( 1 x 429 ) / 429

GCD(1, 429) = 429 / 429

GCD(1, 429) = 1

GCD of 510, 172, 267, 429 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 756, 500, 934, 111
• GCD of 465, 319, 865, 135
• GCD of 510, 370, 428, 408
• GCD of 123, 201, 430, 967
• GCD of 996, 668, 597, 224

1. What is the GCD of 510, 172, 267, 429?

GCD of 510, 172, 267, 429 is 1

2. Where do I get the detailed procedure to find GCD of 510, 172, 267, 429?

You can find a detailed procedure to find GCD of 510, 172, 267, 429 on our page.

3. How to find GCD of 510, 172, 267, 429 on a calculator?

You can find the GCD of 510, 172, 267, 429 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.