GCD of 702, 703, 20, 997 Calculator

Given Input numbers are 702, 703, 20, 997

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

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 703

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

1, 19, 37, 703

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Greatest Common Divisior

We found the divisors of 702, 703, 20, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 703, 20, 997 is 1.

Therefore, GCD of numbers 702, 703, 20, 997 is 1

Given Input Data is 702, 703, 20, 997

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

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 703 is 19 x 37

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 997 is 997

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(702, 703) = 493506

GCD(702, 703) = ( 702 x 703 ) / 493506

GCD(702, 703) = 493506 / 493506

GCD(702, 703) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 997

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

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

GCD(1, 997) = 997 / 997

GCD(1, 997) = 1

GCD of 702, 703, 20, 997 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 116, 532, 44, 395
• GCD of 268, 207, 55, 443
• GCD of 563, 941, 48, 434
• GCD of 980, 101, 55, 483
• GCD of 827, 699, 57, 228

1. What is the GCD of 702, 703, 20, 997?

GCD of 702, 703, 20, 997 is 1

2. Where do I get the detailed procedure to find GCD of 702, 703, 20, 997?

You can find a detailed procedure to find GCD of 702, 703, 20, 997 on our page.

3. How to find GCD of 702, 703, 20, 997 on a calculator?

You can find the GCD of 702, 703, 20, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.