GCD of 140, 504, 172, 727 Calculator

Given Input numbers are 140, 504, 172, 727

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

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 172

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

1, 2, 4, 43, 86, 172

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Greatest Common Divisior

We found the divisors of 140, 504, 172, 727 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 504, 172, 727 is 1.

Therefore, GCD of numbers 140, 504, 172, 727 is 1

Given Input Data is 140, 504, 172, 727

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

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 727 is 727

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(140, 504) = 2520

GCD(140, 504) = ( 140 x 504 ) / 2520

GCD(140, 504) = 70560 / 2520

GCD(140, 504) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 172

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

LCM(28, 172) = 1204

GCD(28, 172) = ( 28 x 172 ) / 1204

GCD(28, 172) = 4816 / 1204

GCD(28, 172) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 727

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

LCM(4, 727) = 2908

GCD(4, 727) = ( 4 x 727 ) / 2908

GCD(4, 727) = 2908 / 2908

GCD(4, 727) = 1

GCD of 140, 504, 172, 727 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 983, 265, 749, 245
• GCD of 679, 329, 123, 986
• GCD of 133, 508, 420, 664
• GCD of 798, 581, 835, 934
• GCD of 470, 532, 916, 172

1. What is the GCD of 140, 504, 172, 727?

GCD of 140, 504, 172, 727 is 1

2. Where do I get the detailed procedure to find GCD of 140, 504, 172, 727?

You can find a detailed procedure to find GCD of 140, 504, 172, 727 on our page.

3. How to find GCD of 140, 504, 172, 727 on a calculator?

You can find the GCD of 140, 504, 172, 727 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.