GCD of 80, 914, 564, 491 Calculator

Given Input numbers are 80, 914, 564, 491

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

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Greatest Common Divisior

We found the divisors of 80, 914, 564, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 914, 564, 491 is 1.

Therefore, GCD of numbers 80, 914, 564, 491 is 1

Given Input Data is 80, 914, 564, 491

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

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 914 is 2 x 457

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 491 is 491

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(80, 914) = 36560

GCD(80, 914) = ( 80 x 914 ) / 36560

GCD(80, 914) = 73120 / 36560

GCD(80, 914) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 564

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

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

GCD(2, 564) = 1128 / 564

GCD(2, 564) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 491

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

LCM(2, 491) = 982

GCD(2, 491) = ( 2 x 491 ) / 982

GCD(2, 491) = 982 / 982

GCD(2, 491) = 1

GCD of 80, 914, 564, 491 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 61, 389, 115, 773
• GCD of 48, 353, 798, 664
• GCD of 49, 489, 448, 176
• GCD of 54, 463, 334, 498
• GCD of 57, 827, 802, 190

1. What is the GCD of 80, 914, 564, 491?

GCD of 80, 914, 564, 491 is 1

2. Where do I get the detailed procedure to find GCD of 80, 914, 564, 491?

You can find a detailed procedure to find GCD of 80, 914, 564, 491 on our page.

3. How to find GCD of 80, 914, 564, 491 on a calculator?

You can find the GCD of 80, 914, 564, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.