GCD of 521, 513, 807, 553 Calculator

Given Input numbers are 521, 513, 807, 553

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

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

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 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 521, 513, 807, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 521, 513, 807, 553 is 1.

Therefore, GCD of numbers 521, 513, 807, 553 is 1

Given Input Data is 521, 513, 807, 553

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

Prime Factorization of 521 is 521

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

Prime Factorization of 807 is 3 x 269

Prime Factorization of 553 is 7 x 79

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(521, 513) = 267273

GCD(521, 513) = ( 521 x 513 ) / 267273

GCD(521, 513) = 267273 / 267273

GCD(521, 513) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 807

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

LCM(1, 807) = 807

GCD(1, 807) = ( 1 x 807 ) / 807

GCD(1, 807) = 807 / 807

GCD(1, 807) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 553

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

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

GCD(1, 553) = 553 / 553

GCD(1, 553) = 1

GCD of 521, 513, 807, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 677, 716, 729, 651
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• GCD of 832, 281, 685, 587
• GCD of 970, 185, 848, 201

1. What is the GCD of 521, 513, 807, 553?

GCD of 521, 513, 807, 553 is 1

2. Where do I get the detailed procedure to find GCD of 521, 513, 807, 553?

You can find a detailed procedure to find GCD of 521, 513, 807, 553 on our page.

3. How to find GCD of 521, 513, 807, 553 on a calculator?

You can find the GCD of 521, 513, 807, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.