GCD of 742, 442, 664, 737 Calculator

Given Input numbers are 742, 442, 664, 737

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 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Greatest Common Divisior

We found the divisors of 742, 442, 664, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 442, 664, 737 is 1.

Therefore, GCD of numbers 742, 442, 664, 737 is 1

Given Input Data is 742, 442, 664, 737

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 442 is 2 x 13 x 17

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 737 is 11 x 67

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, 442) = 163982

GCD(742, 442) = ( 742 x 442 ) / 163982

GCD(742, 442) = 327964 / 163982

GCD(742, 442) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 664

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

LCM(2, 664) = 664

GCD(2, 664) = ( 2 x 664 ) / 664

GCD(2, 664) = 1328 / 664

GCD(2, 664) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 737

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

LCM(2, 737) = 1474

GCD(2, 737) = ( 2 x 737 ) / 1474

GCD(2, 737) = 1474 / 1474

GCD(2, 737) = 1

GCD of 742, 442, 664, 737 is 1

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1. What is the GCD of 742, 442, 664, 737?

GCD of 742, 442, 664, 737 is 1

2. Where do I get the detailed procedure to find GCD of 742, 442, 664, 737?

You can find a detailed procedure to find GCD of 742, 442, 664, 737 on our page.

3. How to find GCD of 742, 442, 664, 737 on a calculator?

You can find the GCD of 742, 442, 664, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.