GCD of 735, 870, 284, 814 Calculator

Given Input numbers are 735, 870, 284, 814

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

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 735, 870, 284, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 870, 284, 814 is 1.

Therefore, GCD of numbers 735, 870, 284, 814 is 1

Given Input Data is 735, 870, 284, 814

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

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 814 is 2 x 11 x 37

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(735, 870) = 42630

GCD(735, 870) = ( 735 x 870 ) / 42630

GCD(735, 870) = 639450 / 42630

GCD(735, 870) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 284

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

LCM(15, 284) = 4260

GCD(15, 284) = ( 15 x 284 ) / 4260

GCD(15, 284) = 4260 / 4260

GCD(15, 284) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 735, 870, 284, 814 is 1

Here are some samples of GCD of Numbers calculations.

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• GCD of 694, 670, 892, 249

1. What is the GCD of 735, 870, 284, 814?

GCD of 735, 870, 284, 814 is 1

2. Where do I get the detailed procedure to find GCD of 735, 870, 284, 814?

You can find a detailed procedure to find GCD of 735, 870, 284, 814 on our page.

3. How to find GCD of 735, 870, 284, 814 on a calculator?

You can find the GCD of 735, 870, 284, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.