GCD of 513, 688, 77, 344 Calculator

Given Input numbers are 513, 688, 77, 344

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 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 513, 688, 77, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 688, 77, 344 is 1.

Therefore, GCD of numbers 513, 688, 77, 344 is 1

Given Input Data is 513, 688, 77, 344

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 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 77 is 7 x 11

Prime Factorization of 344 is 2 x 2 x 2 x 43

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, 688) = 352944

GCD(513, 688) = ( 513 x 688 ) / 352944

GCD(513, 688) = 352944 / 352944

GCD(513, 688) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

GCD of 513, 688, 77, 344 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 567, 335, 10, 530
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• GCD of 271, 786, 46, 344

1. What is the GCD of 513, 688, 77, 344?

GCD of 513, 688, 77, 344 is 1

2. Where do I get the detailed procedure to find GCD of 513, 688, 77, 344?

You can find a detailed procedure to find GCD of 513, 688, 77, 344 on our page.

3. How to find GCD of 513, 688, 77, 344 on a calculator?

You can find the GCD of 513, 688, 77, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.