GCD of 928, 140, 69, 581 Calculator

Given Input numbers are 928, 140, 69, 581

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 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Greatest Common Divisior

We found the divisors of 928, 140, 69, 581 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 140, 69, 581 is 1.

Therefore, GCD of numbers 928, 140, 69, 581 is 1

Given Input Data is 928, 140, 69, 581

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 140 is 2 x 2 x 5 x 7

Prime Factorization of 69 is 3 x 23

Prime Factorization of 581 is 7 x 83

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, 140) = 32480

GCD(928, 140) = ( 928 x 140 ) / 32480

GCD(928, 140) = 129920 / 32480

GCD(928, 140) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 69

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

LCM(4, 69) = 276

GCD(4, 69) = ( 4 x 69 ) / 276

GCD(4, 69) = 276 / 276

GCD(4, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 581

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

LCM(1, 581) = 581

GCD(1, 581) = ( 1 x 581 ) / 581

GCD(1, 581) = 581 / 581

GCD(1, 581) = 1

GCD of 928, 140, 69, 581 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 160, 356, 83, 676
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• GCD of 680, 993, 55, 542

1. What is the GCD of 928, 140, 69, 581?

GCD of 928, 140, 69, 581 is 1

2. Where do I get the detailed procedure to find GCD of 928, 140, 69, 581?

You can find a detailed procedure to find GCD of 928, 140, 69, 581 on our page.

3. How to find GCD of 928, 140, 69, 581 on a calculator?

You can find the GCD of 928, 140, 69, 581 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.