GCD of 700, 529, 74, 404 Calculator

Given Input numbers are 700, 529, 74, 404

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

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 74

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

1, 2, 37, 74

Divisors of 404

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

1, 2, 4, 101, 202, 404

Greatest Common Divisior

We found the divisors of 700, 529, 74, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 529, 74, 404 is 1.

Therefore, GCD of numbers 700, 529, 74, 404 is 1

Given Input Data is 700, 529, 74, 404

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

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 529 is 23 x 23

Prime Factorization of 74 is 2 x 37

Prime Factorization of 404 is 2 x 2 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(700, 529) = 370300

GCD(700, 529) = ( 700 x 529 ) / 370300

GCD(700, 529) = 370300 / 370300

GCD(700, 529) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 404

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

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

GCD(1, 404) = 404 / 404

GCD(1, 404) = 1

GCD of 700, 529, 74, 404 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 774, 255, 61, 323
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• GCD of 132, 208, 55, 675
• GCD of 194, 861, 33, 968
• GCD of 226, 796, 13, 656

1. What is the GCD of 700, 529, 74, 404?

GCD of 700, 529, 74, 404 is 1

2. Where do I get the detailed procedure to find GCD of 700, 529, 74, 404?

You can find a detailed procedure to find GCD of 700, 529, 74, 404 on our page.

3. How to find GCD of 700, 529, 74, 404 on a calculator?

You can find the GCD of 700, 529, 74, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.