GCD of 736, 520, 172, 671 Calculator

Given Input numbers are 736, 520, 172, 671

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 671

List of positive integer divisors of 671 that divides 671 without a remainder.

1, 11, 61, 671

Greatest Common Divisior

We found the divisors of 736, 520, 172, 671 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 520, 172, 671 is 1.

Therefore, GCD of numbers 736, 520, 172, 671 is 1

Given Input Data is 736, 520, 172, 671

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 671 is 11 x 61

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(736, 520) = 47840

GCD(736, 520) = ( 736 x 520 ) / 47840

GCD(736, 520) = 382720 / 47840

GCD(736, 520) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 172

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

LCM(8, 172) = 344

GCD(8, 172) = ( 8 x 172 ) / 344

GCD(8, 172) = 1376 / 344

GCD(8, 172) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 671

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

LCM(4, 671) = 2684

GCD(4, 671) = ( 4 x 671 ) / 2684

GCD(4, 671) = 2684 / 2684

GCD(4, 671) = 1

GCD of 736, 520, 172, 671 is 1

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1. What is the GCD of 736, 520, 172, 671?

GCD of 736, 520, 172, 671 is 1

2. Where do I get the detailed procedure to find GCD of 736, 520, 172, 671?

You can find a detailed procedure to find GCD of 736, 520, 172, 671 on our page.

3. How to find GCD of 736, 520, 172, 671 on a calculator?

You can find the GCD of 736, 520, 172, 671 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.