GCD of 742, 824, 71, 170 Calculator

Given Input numbers are 742, 824, 71, 170

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 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Greatest Common Divisior

We found the divisors of 742, 824, 71, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 824, 71, 170 is 1.

Therefore, GCD of numbers 742, 824, 71, 170 is 1

Given Input Data is 742, 824, 71, 170

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 824 is 2 x 2 x 2 x 103

Prime Factorization of 71 is 71

Prime Factorization of 170 is 2 x 5 x 17

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, 824) = 305704

GCD(742, 824) = ( 742 x 824 ) / 305704

GCD(742, 824) = 611408 / 305704

GCD(742, 824) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 170

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

LCM(1, 170) = 170

GCD(1, 170) = ( 1 x 170 ) / 170

GCD(1, 170) = 170 / 170

GCD(1, 170) = 1

GCD of 742, 824, 71, 170 is 1

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1. What is the GCD of 742, 824, 71, 170?

GCD of 742, 824, 71, 170 is 1

2. Where do I get the detailed procedure to find GCD of 742, 824, 71, 170?

You can find a detailed procedure to find GCD of 742, 824, 71, 170 on our page.

3. How to find GCD of 742, 824, 71, 170 on a calculator?

You can find the GCD of 742, 824, 71, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.