GCD of 705, 816, 74, 290 Calculator

Given Input numbers are 705, 816, 74, 290

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 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Greatest Common Divisior

We found the divisors of 705, 816, 74, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 816, 74, 290 is 1.

Therefore, GCD of numbers 705, 816, 74, 290 is 1

Given Input Data is 705, 816, 74, 290

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 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 74 is 2 x 37

Prime Factorization of 290 is 2 x 5 x 29

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, 816) = 191760

GCD(705, 816) = ( 705 x 816 ) / 191760

GCD(705, 816) = 575280 / 191760

GCD(705, 816) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 74

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

LCM(3, 74) = 222

GCD(3, 74) = ( 3 x 74 ) / 222

GCD(3, 74) = 222 / 222

GCD(3, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 290

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

LCM(1, 290) = 290

GCD(1, 290) = ( 1 x 290 ) / 290

GCD(1, 290) = 290 / 290

GCD(1, 290) = 1

GCD of 705, 816, 74, 290 is 1

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1. What is the GCD of 705, 816, 74, 290?

GCD of 705, 816, 74, 290 is 1

2. Where do I get the detailed procedure to find GCD of 705, 816, 74, 290?

You can find a detailed procedure to find GCD of 705, 816, 74, 290 on our page.

3. How to find GCD of 705, 816, 74, 290 on a calculator?

You can find the GCD of 705, 816, 74, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.