GCD of 513, 921, 85, 654 Calculator

Given Input numbers are 513, 921, 85, 654

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

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Greatest Common Divisior

We found the divisors of 513, 921, 85, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 921, 85, 654 is 1.

Therefore, GCD of numbers 513, 921, 85, 654 is 1

Given Input Data is 513, 921, 85, 654

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

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 921 is 3 x 307

Prime Factorization of 85 is 5 x 17

Prime Factorization of 654 is 2 x 3 x 109

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(513, 921) = 157491

GCD(513, 921) = ( 513 x 921 ) / 157491

GCD(513, 921) = 472473 / 157491

GCD(513, 921) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 85

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

LCM(3, 85) = 255

GCD(3, 85) = ( 3 x 85 ) / 255

GCD(3, 85) = 255 / 255

GCD(3, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

GCD of 513, 921, 85, 654 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 117, 997, 96, 465
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• GCD of 907, 817, 10, 358

1. What is the GCD of 513, 921, 85, 654?

GCD of 513, 921, 85, 654 is 1

2. Where do I get the detailed procedure to find GCD of 513, 921, 85, 654?

You can find a detailed procedure to find GCD of 513, 921, 85, 654 on our page.

3. How to find GCD of 513, 921, 85, 654 on a calculator?

You can find the GCD of 513, 921, 85, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.