GCD of 140, 929, 530, 309 Calculator

Given Input numbers are 140, 929, 530, 309

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 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 140, 929, 530, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 929, 530, 309 is 1.

Therefore, GCD of numbers 140, 929, 530, 309 is 1

Given Input Data is 140, 929, 530, 309

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 929 is 929

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 309 is 3 x 103

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, 929) = 130060

GCD(140, 929) = ( 140 x 929 ) / 130060

GCD(140, 929) = 130060 / 130060

GCD(140, 929) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 530

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

LCM(1, 530) = 530

GCD(1, 530) = ( 1 x 530 ) / 530

GCD(1, 530) = 530 / 530

GCD(1, 530) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

GCD of 140, 929, 530, 309 is 1

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1. What is the GCD of 140, 929, 530, 309?

GCD of 140, 929, 530, 309 is 1

2. Where do I get the detailed procedure to find GCD of 140, 929, 530, 309?

You can find a detailed procedure to find GCD of 140, 929, 530, 309 on our page.

3. How to find GCD of 140, 929, 530, 309 on a calculator?

You can find the GCD of 140, 929, 530, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.