GCD of 735, 389, 914, 854 Calculator

Given Input numbers are 735, 389, 914, 854

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 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 735, 389, 914, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 389, 914, 854 is 1.

Therefore, GCD of numbers 735, 389, 914, 854 is 1

Given Input Data is 735, 389, 914, 854

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 389 is 389

Prime Factorization of 914 is 2 x 457

Prime Factorization of 854 is 2 x 7 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, 389) = 285915

GCD(735, 389) = ( 735 x 389 ) / 285915

GCD(735, 389) = 285915 / 285915

GCD(735, 389) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 854

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

LCM(1, 854) = 854

GCD(1, 854) = ( 1 x 854 ) / 854

GCD(1, 854) = 854 / 854

GCD(1, 854) = 1

GCD of 735, 389, 914, 854 is 1

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1. What is the GCD of 735, 389, 914, 854?

GCD of 735, 389, 914, 854 is 1

2. Where do I get the detailed procedure to find GCD of 735, 389, 914, 854?

You can find a detailed procedure to find GCD of 735, 389, 914, 854 on our page.

3. How to find GCD of 735, 389, 914, 854 on a calculator?

You can find the GCD of 735, 389, 914, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.