GCD of 513, 270, 689, 557 Calculator

Given Input numbers are 513, 270, 689, 557

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 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Greatest Common Divisior

We found the divisors of 513, 270, 689, 557 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 270, 689, 557 is 1.

Therefore, GCD of numbers 513, 270, 689, 557 is 1

Given Input Data is 513, 270, 689, 557

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 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 689 is 13 x 53

Prime Factorization of 557 is 557

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, 270) = 5130

GCD(513, 270) = ( 513 x 270 ) / 5130

GCD(513, 270) = 138510 / 5130

GCD(513, 270) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 689

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

LCM(27, 689) = 18603

GCD(27, 689) = ( 27 x 689 ) / 18603

GCD(27, 689) = 18603 / 18603

GCD(27, 689) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 557

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

LCM(1, 557) = 557

GCD(1, 557) = ( 1 x 557 ) / 557

GCD(1, 557) = 557 / 557

GCD(1, 557) = 1

GCD of 513, 270, 689, 557 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 955, 191, 443, 442
• GCD of 855, 286, 993, 227
• GCD of 619, 292, 856, 532
• GCD of 137, 161, 923, 168
• GCD of 846, 863, 484, 963

1. What is the GCD of 513, 270, 689, 557?

GCD of 513, 270, 689, 557 is 1

2. Where do I get the detailed procedure to find GCD of 513, 270, 689, 557?

You can find a detailed procedure to find GCD of 513, 270, 689, 557 on our page.

3. How to find GCD of 513, 270, 689, 557 on a calculator?

You can find the GCD of 513, 270, 689, 557 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.