GCD of 735, 874, 366 Calculator

Given Input numbers are 735, 874, 366

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 874

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

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

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Greatest Common Divisior

We found the divisors of 735, 874, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 874, 366 is 1.

Therefore, GCD of numbers 735, 874, 366 is 1

Given Input Data is 735, 874, 366

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 874 is 2 x 19 x 23

Prime Factorization of 366 is 2 x 3 x 61

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, 874) = 642390

GCD(735, 874) = ( 735 x 874 ) / 642390

GCD(735, 874) = 642390 / 642390

GCD(735, 874) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 366

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

LCM(1, 366) = 366

GCD(1, 366) = ( 1 x 366 ) / 366

GCD(1, 366) = 366 / 366

GCD(1, 366) = 1

GCD of 735, 874, 366 is 1

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1. What is the GCD of 735, 874, 366?

GCD of 735, 874, 366 is 1

2. Where do I get the detailed procedure to find GCD of 735, 874, 366?

You can find a detailed procedure to find GCD of 735, 874, 366 on our page.

3. How to find GCD of 735, 874, 366 on a calculator?

You can find the GCD of 735, 874, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.