GCD of 858, 784, 75, 290 Calculator

Given Input numbers are 858, 784, 75, 290

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

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 75

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

1, 3, 5, 15, 25, 75

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 858, 784, 75, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 858, 784, 75, 290 is 1.

Therefore, GCD of numbers 858, 784, 75, 290 is 1

Given Input Data is 858, 784, 75, 290

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

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 75 is 3 x 5 x 5

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(858, 784) = 336336

GCD(858, 784) = ( 858 x 784 ) / 336336

GCD(858, 784) = 672672 / 336336

GCD(858, 784) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 75

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

LCM(2, 75) = 150

GCD(2, 75) = ( 2 x 75 ) / 150

GCD(2, 75) = 150 / 150

GCD(2, 75) = 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 858, 784, 75, 290 is 1

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• GCD of 516, 236, 84, 108
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1. What is the GCD of 858, 784, 75, 290?

GCD of 858, 784, 75, 290 is 1

2. Where do I get the detailed procedure to find GCD of 858, 784, 75, 290?

You can find a detailed procedure to find GCD of 858, 784, 75, 290 on our page.

3. How to find GCD of 858, 784, 75, 290 on a calculator?

You can find the GCD of 858, 784, 75, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.