GCD of 807, 432, 428, 618 Calculator

Given Input numbers are 807, 432, 428, 618

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

Divisors of 807

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

1, 3, 269, 807

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 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Greatest Common Divisior

We found the divisors of 807, 432, 428, 618 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 807, 432, 428, 618 is 1.

Therefore, GCD of numbers 807, 432, 428, 618 is 1

Given Input Data is 807, 432, 428, 618

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

Prime Factorization of 807 is 3 x 269

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 618 is 2 x 3 x 103

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(807, 432) = 116208

GCD(807, 432) = ( 807 x 432 ) / 116208

GCD(807, 432) = 348624 / 116208

GCD(807, 432) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 428

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

LCM(3, 428) = 1284

GCD(3, 428) = ( 3 x 428 ) / 1284

GCD(3, 428) = 1284 / 1284

GCD(3, 428) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 618

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

LCM(1, 618) = 618

GCD(1, 618) = ( 1 x 618 ) / 618

GCD(1, 618) = 618 / 618

GCD(1, 618) = 1

GCD of 807, 432, 428, 618 is 1

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1. What is the GCD of 807, 432, 428, 618?

GCD of 807, 432, 428, 618 is 1

2. Where do I get the detailed procedure to find GCD of 807, 432, 428, 618?

You can find a detailed procedure to find GCD of 807, 432, 428, 618 on our page.

3. How to find GCD of 807, 432, 428, 618 on a calculator?

You can find the GCD of 807, 432, 428, 618 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.