GCD of 75, 485, 705, 416 Calculator

Given Input numbers are 75, 485, 705, 416

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

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 485

List of positive integer divisors of 485 that divides 485 without a remainder.

1, 5, 97, 485

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Greatest Common Divisior

We found the divisors of 75, 485, 705, 416 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 485, 705, 416 is 1.

Therefore, GCD of numbers 75, 485, 705, 416 is 1

Given Input Data is 75, 485, 705, 416

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 485 is 5 x 97

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

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(75, 485) = 7275

GCD(75, 485) = ( 75 x 485 ) / 7275

GCD(75, 485) = 36375 / 7275

GCD(75, 485) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 705

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

LCM(5, 705) = 705

GCD(5, 705) = ( 5 x 705 ) / 705

GCD(5, 705) = 3525 / 705

GCD(5, 705) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 416

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

LCM(5, 416) = 2080

GCD(5, 416) = ( 5 x 416 ) / 2080

GCD(5, 416) = 2080 / 2080

GCD(5, 416) = 1

GCD of 75, 485, 705, 416 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 69, 394, 449, 169
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• GCD of 48, 759, 663, 493

1. What is the GCD of 75, 485, 705, 416?

GCD of 75, 485, 705, 416 is 1

2. Where do I get the detailed procedure to find GCD of 75, 485, 705, 416?

You can find a detailed procedure to find GCD of 75, 485, 705, 416 on our page.

3. How to find GCD of 75, 485, 705, 416 on a calculator?

You can find the GCD of 75, 485, 705, 416 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.