GCD of 510, 336, 680, 267 Calculator

Given Input numbers are 510, 336, 680, 267

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 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 267

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

1, 3, 89, 267

Greatest Common Divisior

We found the divisors of 510, 336, 680, 267 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 336, 680, 267 is 1.

Therefore, GCD of numbers 510, 336, 680, 267 is 1

Given Input Data is 510, 336, 680, 267

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 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 267 is 3 x 89

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, 336) = 28560

GCD(510, 336) = ( 510 x 336 ) / 28560

GCD(510, 336) = 171360 / 28560

GCD(510, 336) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 680

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

LCM(6, 680) = 2040

GCD(6, 680) = ( 6 x 680 ) / 2040

GCD(6, 680) = 4080 / 2040

GCD(6, 680) = 2

Step3:

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

GCD of 510, 336, 680, 267 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 598, 702, 313
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• GCD of 279, 163, 528, 349
• GCD of 915, 479, 945, 224
• GCD of 688, 852, 971, 134

1. What is the GCD of 510, 336, 680, 267?

GCD of 510, 336, 680, 267 is 1

2. Where do I get the detailed procedure to find GCD of 510, 336, 680, 267?

You can find a detailed procedure to find GCD of 510, 336, 680, 267 on our page.

3. How to find GCD of 510, 336, 680, 267 on a calculator?

You can find the GCD of 510, 336, 680, 267 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.