GCD of 703, 380, 96, 586 Calculator

Given Input numbers are 703, 380, 96, 586

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 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Greatest Common Divisior

We found the divisors of 703, 380, 96, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 703, 380, 96, 586 is 1.

Therefore, GCD of numbers 703, 380, 96, 586 is 1

Given Input Data is 703, 380, 96, 586

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

Prime Factorization of 703 is 19 x 37

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 586 is 2 x 293

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, 380) = 14060

GCD(703, 380) = ( 703 x 380 ) / 14060

GCD(703, 380) = 267140 / 14060

GCD(703, 380) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 96

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

LCM(19, 96) = 1824

GCD(19, 96) = ( 19 x 96 ) / 1824

GCD(19, 96) = 1824 / 1824

GCD(19, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 586

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

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

GCD(1, 586) = 586 / 586

GCD(1, 586) = 1

GCD of 703, 380, 96, 586 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 930, 738, 21, 900
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1. What is the GCD of 703, 380, 96, 586?

GCD of 703, 380, 96, 586 is 1

2. Where do I get the detailed procedure to find GCD of 703, 380, 96, 586?

You can find a detailed procedure to find GCD of 703, 380, 96, 586 on our page.

3. How to find GCD of 703, 380, 96, 586 on a calculator?

You can find the GCD of 703, 380, 96, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.