GCD of 672, 771, 37, 513 Calculator

Given Input numbers are 672, 771, 37, 513

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

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 513

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

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

Greatest Common Divisior

We found the divisors of 672, 771, 37, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 771, 37, 513 is 1.

Therefore, GCD of numbers 672, 771, 37, 513 is 1

Given Input Data is 672, 771, 37, 513

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

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 771 is 3 x 257

Prime Factorization of 37 is 37

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

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(672, 771) = 172704

GCD(672, 771) = ( 672 x 771 ) / 172704

GCD(672, 771) = 518112 / 172704

GCD(672, 771) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 37

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

LCM(3, 37) = 111

GCD(3, 37) = ( 3 x 37 ) / 111

GCD(3, 37) = 111 / 111

GCD(3, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 513

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

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

GCD(1, 513) = 513 / 513

GCD(1, 513) = 1

GCD of 672, 771, 37, 513 is 1

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1. What is the GCD of 672, 771, 37, 513?

GCD of 672, 771, 37, 513 is 1

2. Where do I get the detailed procedure to find GCD of 672, 771, 37, 513?

You can find a detailed procedure to find GCD of 672, 771, 37, 513 on our page.

3. How to find GCD of 672, 771, 37, 513 on a calculator?

You can find the GCD of 672, 771, 37, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.