GCD of 432, 762, 87, 679 Calculator

Given Input numbers are 432, 762, 87, 679

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

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Greatest Common Divisior

We found the divisors of 432, 762, 87, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 762, 87, 679 is 1.

Therefore, GCD of numbers 432, 762, 87, 679 is 1

Given Input Data is 432, 762, 87, 679

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

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 87 is 3 x 29

Prime Factorization of 679 is 7 x 97

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(432, 762) = 54864

GCD(432, 762) = ( 432 x 762 ) / 54864

GCD(432, 762) = 329184 / 54864

GCD(432, 762) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 87

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

LCM(6, 87) = 174

GCD(6, 87) = ( 6 x 87 ) / 174

GCD(6, 87) = 522 / 174

GCD(6, 87) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 679

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

LCM(3, 679) = 2037

GCD(3, 679) = ( 3 x 679 ) / 2037

GCD(3, 679) = 2037 / 2037

GCD(3, 679) = 1

GCD of 432, 762, 87, 679 is 1

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1. What is the GCD of 432, 762, 87, 679?

GCD of 432, 762, 87, 679 is 1

2. Where do I get the detailed procedure to find GCD of 432, 762, 87, 679?

You can find a detailed procedure to find GCD of 432, 762, 87, 679 on our page.

3. How to find GCD of 432, 762, 87, 679 on a calculator?

You can find the GCD of 432, 762, 87, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.