GCD of 688, 639, 83, 726 Calculator

Given Input numbers are 688, 639, 83, 726

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 639

List of positive integer divisors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Greatest Common Divisior

We found the divisors of 688, 639, 83, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 639, 83, 726 is 1.

Therefore, GCD of numbers 688, 639, 83, 726 is 1

Given Input Data is 688, 639, 83, 726

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 639 is 3 x 3 x 71

Prime Factorization of 83 is 83

Prime Factorization of 726 is 2 x 3 x 11 x 11

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, 639) = 439632

GCD(688, 639) = ( 688 x 639 ) / 439632

GCD(688, 639) = 439632 / 439632

GCD(688, 639) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 726

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

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

GCD(1, 726) = 726 / 726

GCD(1, 726) = 1

GCD of 688, 639, 83, 726 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 912, 260, 21, 652
• GCD of 265, 823, 55, 110
• GCD of 311, 782, 18, 493
• GCD of 910, 258, 83, 461
• GCD of 265, 163, 37, 948

1. What is the GCD of 688, 639, 83, 726?

GCD of 688, 639, 83, 726 is 1

2. Where do I get the detailed procedure to find GCD of 688, 639, 83, 726?

You can find a detailed procedure to find GCD of 688, 639, 83, 726 on our page.

3. How to find GCD of 688, 639, 83, 726 on a calculator?

You can find the GCD of 688, 639, 83, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.