GCD of 515, 320, 65, 214 Calculator

Given Input numbers are 515, 320, 65, 214

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

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 515, 320, 65, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 515, 320, 65, 214 is 1.

Therefore, GCD of numbers 515, 320, 65, 214 is 1

Given Input Data is 515, 320, 65, 214

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

Prime Factorization of 515 is 5 x 103

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 65 is 5 x 13

Prime Factorization of 214 is 2 x 107

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(515, 320) = 32960

GCD(515, 320) = ( 515 x 320 ) / 32960

GCD(515, 320) = 164800 / 32960

GCD(515, 320) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 65

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

LCM(5, 65) = 65

GCD(5, 65) = ( 5 x 65 ) / 65

GCD(5, 65) = 325 / 65

GCD(5, 65) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 214

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

LCM(5, 214) = 1070

GCD(5, 214) = ( 5 x 214 ) / 1070

GCD(5, 214) = 1070 / 1070

GCD(5, 214) = 1

GCD of 515, 320, 65, 214 is 1

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• GCD of 935, 774, 96, 800
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1. What is the GCD of 515, 320, 65, 214?

GCD of 515, 320, 65, 214 is 1

2. Where do I get the detailed procedure to find GCD of 515, 320, 65, 214?

You can find a detailed procedure to find GCD of 515, 320, 65, 214 on our page.

3. How to find GCD of 515, 320, 65, 214 on a calculator?

You can find the GCD of 515, 320, 65, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.