GCD of 524, 510, 75, 712 Calculator

Given Input numbers are 524, 510, 75, 712

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

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 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Greatest Common Divisior

We found the divisors of 524, 510, 75, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 524, 510, 75, 712 is 1.

Therefore, GCD of numbers 524, 510, 75, 712 is 1

Given Input Data is 524, 510, 75, 712

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

Prime Factorization of 524 is 2 x 2 x 131

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 712 is 2 x 2 x 2 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(524, 510) = 133620

GCD(524, 510) = ( 524 x 510 ) / 133620

GCD(524, 510) = 267240 / 133620

GCD(524, 510) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 75

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

LCM(2, 75) = 150

GCD(2, 75) = ( 2 x 75 ) / 150

GCD(2, 75) = 150 / 150

GCD(2, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 712

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

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

GCD(1, 712) = 712 / 712

GCD(1, 712) = 1

GCD of 524, 510, 75, 712 is 1

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• GCD of 706, 204, 65, 525
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1. What is the GCD of 524, 510, 75, 712?

GCD of 524, 510, 75, 712 is 1

2. Where do I get the detailed procedure to find GCD of 524, 510, 75, 712?

You can find a detailed procedure to find GCD of 524, 510, 75, 712 on our page.

3. How to find GCD of 524, 510, 75, 712 on a calculator?

You can find the GCD of 524, 510, 75, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.