GCD of 364, 514, 80, 646 Calculator

Given Input numbers are 364, 514, 80, 646

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 514

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

1, 2, 257, 514

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 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Greatest Common Divisior

We found the divisors of 364, 514, 80, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 514, 80, 646 is 2.

Therefore, GCD of numbers 364, 514, 80, 646 is 2

Given Input Data is 364, 514, 80, 646

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 514 is 2 x 257

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

Prime Factorization of 646 is 2 x 17 x 19

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(364, 514) = 93548

GCD(364, 514) = ( 364 x 514 ) / 93548

GCD(364, 514) = 187096 / 93548

GCD(364, 514) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 80

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

LCM(2, 80) = 80

GCD(2, 80) = ( 2 x 80 ) / 80

GCD(2, 80) = 160 / 80

GCD(2, 80) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 646

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

LCM(2, 646) = 646

GCD(2, 646) = ( 2 x 646 ) / 646

GCD(2, 646) = 1292 / 646

GCD(2, 646) = 2

GCD of 364, 514, 80, 646 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 523, 425, 38, 556
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• GCD of 853, 181, 37, 515
• GCD of 969, 963, 85, 451
• GCD of 348, 202, 79, 587

1. What is the GCD of 364, 514, 80, 646?

GCD of 364, 514, 80, 646 is 2

2. Where do I get the detailed procedure to find GCD of 364, 514, 80, 646?

You can find a detailed procedure to find GCD of 364, 514, 80, 646 on our page.

3. How to find GCD of 364, 514, 80, 646 on a calculator?

You can find the GCD of 364, 514, 80, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.