GCD of 705, 845, 40, 416 Calculator

Given Input numbers are 705, 845, 40, 416

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

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 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

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 705, 845, 40, 416 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 845, 40, 416 is 1.

Therefore, GCD of numbers 705, 845, 40, 416 is 1

Given Input Data is 705, 845, 40, 416

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 845 is 5 x 13 x 13

Prime Factorization of 40 is 2 x 2 x 2 x 5

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(705, 845) = 119145

GCD(705, 845) = ( 705 x 845 ) / 119145

GCD(705, 845) = 595725 / 119145

GCD(705, 845) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 40

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

LCM(5, 40) = 40

GCD(5, 40) = ( 5 x 40 ) / 40

GCD(5, 40) = 200 / 40

GCD(5, 40) = 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 705, 845, 40, 416 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 505, 256, 99, 880
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• GCD of 542, 845, 45, 205
• GCD of 101, 322, 11, 903
• GCD of 373, 963, 65, 730

1. What is the GCD of 705, 845, 40, 416?

GCD of 705, 845, 40, 416 is 1

2. Where do I get the detailed procedure to find GCD of 705, 845, 40, 416?

You can find a detailed procedure to find GCD of 705, 845, 40, 416 on our page.

3. How to find GCD of 705, 845, 40, 416 on a calculator?

You can find the GCD of 705, 845, 40, 416 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.