GCD of 742, 808, 17, 700 Calculator

Given Input numbers are 742, 808, 17, 700

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

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

Greatest Common Divisior

We found the divisors of 742, 808, 17, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 808, 17, 700 is 1.

Therefore, GCD of numbers 742, 808, 17, 700 is 1

Given Input Data is 742, 808, 17, 700

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 17 is 17

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

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(742, 808) = 299768

GCD(742, 808) = ( 742 x 808 ) / 299768

GCD(742, 808) = 599536 / 299768

GCD(742, 808) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 17

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

LCM(2, 17) = 34

GCD(2, 17) = ( 2 x 17 ) / 34

GCD(2, 17) = 34 / 34

GCD(2, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 700

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

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

GCD(1, 700) = 700 / 700

GCD(1, 700) = 1

GCD of 742, 808, 17, 700 is 1

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• GCD of 189, 624, 61, 235
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1. What is the GCD of 742, 808, 17, 700?

GCD of 742, 808, 17, 700 is 1

2. Where do I get the detailed procedure to find GCD of 742, 808, 17, 700?

You can find a detailed procedure to find GCD of 742, 808, 17, 700 on our page.

3. How to find GCD of 742, 808, 17, 700 on a calculator?

You can find the GCD of 742, 808, 17, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.