GCD of 703, 742, 508, 730 Calculator

Given Input numbers are 703, 742, 508, 730

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

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

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 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Greatest Common Divisior

We found the divisors of 703, 742, 508, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 703, 742, 508, 730 is 1.

Therefore, GCD of numbers 703, 742, 508, 730 is 1

Given Input Data is 703, 742, 508, 730

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

Prime Factorization of 703 is 19 x 37

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 730 is 2 x 5 x 73

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(703, 742) = 521626

GCD(703, 742) = ( 703 x 742 ) / 521626

GCD(703, 742) = 521626 / 521626

GCD(703, 742) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 730

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

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

GCD(1, 730) = 730 / 730

GCD(1, 730) = 1

GCD of 703, 742, 508, 730 is 1

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1. What is the GCD of 703, 742, 508, 730?

GCD of 703, 742, 508, 730 is 1

2. Where do I get the detailed procedure to find GCD of 703, 742, 508, 730?

You can find a detailed procedure to find GCD of 703, 742, 508, 730 on our page.

3. How to find GCD of 703, 742, 508, 730 on a calculator?

You can find the GCD of 703, 742, 508, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.