GCD of 746, 900, 389, 335 Calculator

Given Input numbers are 746, 900, 389, 335

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

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 389

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

1, 389

Divisors of 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Greatest Common Divisior

We found the divisors of 746, 900, 389, 335 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 900, 389, 335 is 1.

Therefore, GCD of numbers 746, 900, 389, 335 is 1

Given Input Data is 746, 900, 389, 335

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

Prime Factorization of 746 is 2 x 373

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 389 is 389

Prime Factorization of 335 is 5 x 67

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(746, 900) = 335700

GCD(746, 900) = ( 746 x 900 ) / 335700

GCD(746, 900) = 671400 / 335700

GCD(746, 900) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 389

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

LCM(2, 389) = 778

GCD(2, 389) = ( 2 x 389 ) / 778

GCD(2, 389) = 778 / 778

GCD(2, 389) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 335

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

LCM(1, 335) = 335

GCD(1, 335) = ( 1 x 335 ) / 335

GCD(1, 335) = 335 / 335

GCD(1, 335) = 1

GCD of 746, 900, 389, 335 is 1

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1. What is the GCD of 746, 900, 389, 335?

GCD of 746, 900, 389, 335 is 1

2. Where do I get the detailed procedure to find GCD of 746, 900, 389, 335?

You can find a detailed procedure to find GCD of 746, 900, 389, 335 on our page.

3. How to find GCD of 746, 900, 389, 335 on a calculator?

You can find the GCD of 746, 900, 389, 335 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.