GCD of 730, 128, 527, 140 Calculator

Given Input numbers are 730, 128, 527, 140

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

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

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

Greatest Common Divisior

We found the divisors of 730, 128, 527, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 128, 527, 140 is 1.

Therefore, GCD of numbers 730, 128, 527, 140 is 1

Given Input Data is 730, 128, 527, 140

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

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 527 is 17 x 31

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

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(730, 128) = 46720

GCD(730, 128) = ( 730 x 128 ) / 46720

GCD(730, 128) = 93440 / 46720

GCD(730, 128) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 527

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

LCM(2, 527) = 1054

GCD(2, 527) = ( 2 x 527 ) / 1054

GCD(2, 527) = 1054 / 1054

GCD(2, 527) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 140

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

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

GCD(1, 140) = 140 / 140

GCD(1, 140) = 1

GCD of 730, 128, 527, 140 is 1

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1. What is the GCD of 730, 128, 527, 140?

GCD of 730, 128, 527, 140 is 1

2. Where do I get the detailed procedure to find GCD of 730, 128, 527, 140?

You can find a detailed procedure to find GCD of 730, 128, 527, 140 on our page.

3. How to find GCD of 730, 128, 527, 140 on a calculator?

You can find the GCD of 730, 128, 527, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.