GCD of 780, 970, 440, 299 Calculator

Given Input numbers are 780, 970, 440, 299

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

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Greatest Common Divisior

We found the divisors of 780, 970, 440, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 780, 970, 440, 299 is 1.

Therefore, GCD of numbers 780, 970, 440, 299 is 1

Given Input Data is 780, 970, 440, 299

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

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 299 is 13 x 23

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(780, 970) = 75660

GCD(780, 970) = ( 780 x 970 ) / 75660

GCD(780, 970) = 756600 / 75660

GCD(780, 970) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 440

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

LCM(10, 440) = 440

GCD(10, 440) = ( 10 x 440 ) / 440

GCD(10, 440) = 4400 / 440

GCD(10, 440) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 299

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

LCM(10, 299) = 2990

GCD(10, 299) = ( 10 x 299 ) / 2990

GCD(10, 299) = 2990 / 2990

GCD(10, 299) = 1

GCD of 780, 970, 440, 299 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 243, 563, 979, 933
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1. What is the GCD of 780, 970, 440, 299?

GCD of 780, 970, 440, 299 is 1

2. Where do I get the detailed procedure to find GCD of 780, 970, 440, 299?

You can find a detailed procedure to find GCD of 780, 970, 440, 299 on our page.

3. How to find GCD of 780, 970, 440, 299 on a calculator?

You can find the GCD of 780, 970, 440, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.