GCD of 749, 858, 20, 304 Calculator

Given Input numbers are 749, 858, 20, 304

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

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

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 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Greatest Common Divisior

We found the divisors of 749, 858, 20, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 858, 20, 304 is 1.

Therefore, GCD of numbers 749, 858, 20, 304 is 1

Given Input Data is 749, 858, 20, 304

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

Prime Factorization of 749 is 7 x 107

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

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(749, 858) = 642642

GCD(749, 858) = ( 749 x 858 ) / 642642

GCD(749, 858) = 642642 / 642642

GCD(749, 858) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 304

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

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

GCD(1, 304) = 304 / 304

GCD(1, 304) = 1

GCD of 749, 858, 20, 304 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 657, 744, 72, 526
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• GCD of 112, 652, 63, 221

1. What is the GCD of 749, 858, 20, 304?

GCD of 749, 858, 20, 304 is 1

2. Where do I get the detailed procedure to find GCD of 749, 858, 20, 304?

You can find a detailed procedure to find GCD of 749, 858, 20, 304 on our page.

3. How to find GCD of 749, 858, 20, 304 on a calculator?

You can find the GCD of 749, 858, 20, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.