GCD of 80, 821, 964, 514 Calculator

Given Input numbers are 80, 821, 964, 514

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 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 80, 821, 964, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 821, 964, 514 is 1.

Therefore, GCD of numbers 80, 821, 964, 514 is 1

Given Input Data is 80, 821, 964, 514

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 821 is 821

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 514 is 2 x 257

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, 821) = 65680

GCD(80, 821) = ( 80 x 821 ) / 65680

GCD(80, 821) = 65680 / 65680

GCD(80, 821) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 964

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

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

GCD(1, 964) = 964 / 964

GCD(1, 964) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

GCD of 80, 821, 964, 514 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 154, 869, 268
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• GCD of 30, 825, 981, 419
• GCD of 93, 821, 986, 992

1. What is the GCD of 80, 821, 964, 514?

GCD of 80, 821, 964, 514 is 1

2. Where do I get the detailed procedure to find GCD of 80, 821, 964, 514?

You can find a detailed procedure to find GCD of 80, 821, 964, 514 on our page.

3. How to find GCD of 80, 821, 964, 514 on a calculator?

You can find the GCD of 80, 821, 964, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.