GCD of 688, 982, 745 Calculator

Given Input numbers are 688, 982, 745

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

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 688, 982, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 982, 745 is 1.

Therefore, GCD of numbers 688, 982, 745 is 1

Given Input Data is 688, 982, 745

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

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 982 is 2 x 491

Prime Factorization of 745 is 5 x 149

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(688, 982) = 337808

GCD(688, 982) = ( 688 x 982 ) / 337808

GCD(688, 982) = 675616 / 337808

GCD(688, 982) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 745

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

LCM(2, 745) = 1490

GCD(2, 745) = ( 2 x 745 ) / 1490

GCD(2, 745) = 1490 / 1490

GCD(2, 745) = 1

GCD of 688, 982, 745 is 1

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1. What is the GCD of 688, 982, 745?

GCD of 688, 982, 745 is 1

2. Where do I get the detailed procedure to find GCD of 688, 982, 745?

You can find a detailed procedure to find GCD of 688, 982, 745 on our page.

3. How to find GCD of 688, 982, 745 on a calculator?

You can find the GCD of 688, 982, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.