GCD of 928, 807, 584, 413 Calculator

Given Input numbers are 928, 807, 584, 413

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

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 807

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

1, 3, 269, 807

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 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Greatest Common Divisior

We found the divisors of 928, 807, 584, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 807, 584, 413 is 1.

Therefore, GCD of numbers 928, 807, 584, 413 is 1

Given Input Data is 928, 807, 584, 413

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

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 807 is 3 x 269

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

Prime Factorization of 413 is 7 x 59

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(928, 807) = 748896

GCD(928, 807) = ( 928 x 807 ) / 748896

GCD(928, 807) = 748896 / 748896

GCD(928, 807) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 413

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

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

GCD(1, 413) = 413 / 413

GCD(1, 413) = 1

GCD of 928, 807, 584, 413 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 861, 402, 231, 336
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• GCD of 593, 112, 835, 249
• GCD of 943, 464, 984, 227
• GCD of 225, 163, 472, 917

1. What is the GCD of 928, 807, 584, 413?

GCD of 928, 807, 584, 413 is 1

2. Where do I get the detailed procedure to find GCD of 928, 807, 584, 413?

You can find a detailed procedure to find GCD of 928, 807, 584, 413 on our page.

3. How to find GCD of 928, 807, 584, 413 on a calculator?

You can find the GCD of 928, 807, 584, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.