GCD of 404, 749, 84, 707 Calculator

Given Input numbers are 404, 749, 84, 707

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

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 749

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

1, 7, 107, 749

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Greatest Common Divisior

We found the divisors of 404, 749, 84, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 749, 84, 707 is 1.

Therefore, GCD of numbers 404, 749, 84, 707 is 1

Given Input Data is 404, 749, 84, 707

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

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 749 is 7 x 107

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 707 is 7 x 101

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(404, 749) = 302596

GCD(404, 749) = ( 404 x 749 ) / 302596

GCD(404, 749) = 302596 / 302596

GCD(404, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 707

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

LCM(1, 707) = 707

GCD(1, 707) = ( 1 x 707 ) / 707

GCD(1, 707) = 707 / 707

GCD(1, 707) = 1

GCD of 404, 749, 84, 707 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 815, 78, 984
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• GCD of 828, 144, 95, 866

1. What is the GCD of 404, 749, 84, 707?

GCD of 404, 749, 84, 707 is 1

2. Where do I get the detailed procedure to find GCD of 404, 749, 84, 707?

You can find a detailed procedure to find GCD of 404, 749, 84, 707 on our page.

3. How to find GCD of 404, 749, 84, 707 on a calculator?

You can find the GCD of 404, 749, 84, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.