GCD of 432, 278, 584, 807 Calculator

Given Input numbers are 432, 278, 584, 807

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 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Greatest Common Divisior

We found the divisors of 432, 278, 584, 807 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 278, 584, 807 is 1.

Therefore, GCD of numbers 432, 278, 584, 807 is 1

Given Input Data is 432, 278, 584, 807

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 278 is 2 x 139

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 807 is 3 x 269

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, 278) = 60048

GCD(432, 278) = ( 432 x 278 ) / 60048

GCD(432, 278) = 120096 / 60048

GCD(432, 278) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 584

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

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

GCD(2, 584) = 1168 / 584

GCD(2, 584) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 807

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

LCM(2, 807) = 1614

GCD(2, 807) = ( 2 x 807 ) / 1614

GCD(2, 807) = 1614 / 1614

GCD(2, 807) = 1

GCD of 432, 278, 584, 807 is 1

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• GCD of 178, 906, 569, 215
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• GCD of 907, 771, 764, 358

1. What is the GCD of 432, 278, 584, 807?

GCD of 432, 278, 584, 807 is 1

2. Where do I get the detailed procedure to find GCD of 432, 278, 584, 807?

You can find a detailed procedure to find GCD of 432, 278, 584, 807 on our page.

3. How to find GCD of 432, 278, 584, 807 on a calculator?

You can find the GCD of 432, 278, 584, 807 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.