GCD of 440, 874, 735 Calculator

Given Input numbers are 440, 874, 735

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

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 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

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

Greatest Common Divisior

We found the divisors of 440, 874, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 874, 735 is 1.

Therefore, GCD of numbers 440, 874, 735 is 1

Given Input Data is 440, 874, 735

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

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 735 is 3 x 5 x 7 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(440, 874) = 192280

GCD(440, 874) = ( 440 x 874 ) / 192280

GCD(440, 874) = 384560 / 192280

GCD(440, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 735

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

LCM(2, 735) = 1470

GCD(2, 735) = ( 2 x 735 ) / 1470

GCD(2, 735) = 1470 / 1470

GCD(2, 735) = 1

GCD of 440, 874, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 279, 821, 246
• GCD of 218, 405, 707
• GCD of 513, 550, 578
• GCD of 896, 477, 715
• GCD of 835, 746, 429

1. What is the GCD of 440, 874, 735?

GCD of 440, 874, 735 is 1

2. Where do I get the detailed procedure to find GCD of 440, 874, 735?

You can find a detailed procedure to find GCD of 440, 874, 735 on our page.

3. How to find GCD of 440, 874, 735 on a calculator?

You can find the GCD of 440, 874, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.