GCD of 510, 672, 754 Calculator

Given Input numbers are 510, 672, 754

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 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Greatest Common Divisior

We found the divisors of 510, 672, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 672, 754 is 2.

Therefore, GCD of numbers 510, 672, 754 is 2

Given Input Data is 510, 672, 754

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 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 754 is 2 x 13 x 29

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 672) = 57120

GCD(510, 672) = ( 510 x 672 ) / 57120

GCD(510, 672) = 342720 / 57120

GCD(510, 672) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 754

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

LCM(6, 754) = 2262

GCD(6, 754) = ( 6 x 754 ) / 2262

GCD(6, 754) = 4524 / 2262

GCD(6, 754) = 2

GCD of 510, 672, 754 is 2

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• GCD of 848, 221, 344
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1. What is the GCD of 510, 672, 754?

GCD of 510, 672, 754 is 2

2. Where do I get the detailed procedure to find GCD of 510, 672, 754?

You can find a detailed procedure to find GCD of 510, 672, 754 on our page.

3. How to find GCD of 510, 672, 754 on a calculator?

You can find the GCD of 510, 672, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.