GCD of 708, 686, 71, 997 Calculator

Given Input numbers are 708, 686, 71, 997

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 71

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

1, 71

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 708, 686, 71, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 686, 71, 997 is 1.

Therefore, GCD of numbers 708, 686, 71, 997 is 1

Given Input Data is 708, 686, 71, 997

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 71 is 71

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(708, 686) = 242844

GCD(708, 686) = ( 708 x 686 ) / 242844

GCD(708, 686) = 485688 / 242844

GCD(708, 686) = 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 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 708, 686, 71, 997 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 522, 803, 72, 155
• GCD of 627, 100, 33, 972
• GCD of 725, 460, 46, 271
• GCD of 347, 168, 83, 748
• GCD of 707, 367, 15, 230

1. What is the GCD of 708, 686, 71, 997?

GCD of 708, 686, 71, 997 is 1

2. Where do I get the detailed procedure to find GCD of 708, 686, 71, 997?

You can find a detailed procedure to find GCD of 708, 686, 71, 997 on our page.

3. How to find GCD of 708, 686, 71, 997 on a calculator?

You can find the GCD of 708, 686, 71, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.