GCD of 656, 670, 83, 727 Calculator

Given Input numbers are 656, 670, 83, 727

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

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 83

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

1, 83

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Greatest Common Divisior

We found the divisors of 656, 670, 83, 727 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 670, 83, 727 is 1.

Therefore, GCD of numbers 656, 670, 83, 727 is 1

Given Input Data is 656, 670, 83, 727

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

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 83 is 83

Prime Factorization of 727 is 727

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(656, 670) = 219760

GCD(656, 670) = ( 656 x 670 ) / 219760

GCD(656, 670) = 439520 / 219760

GCD(656, 670) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 83

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

LCM(2, 83) = 166

GCD(2, 83) = ( 2 x 83 ) / 166

GCD(2, 83) = 166 / 166

GCD(2, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 727

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

LCM(1, 727) = 727

GCD(1, 727) = ( 1 x 727 ) / 727

GCD(1, 727) = 727 / 727

GCD(1, 727) = 1

GCD of 656, 670, 83, 727 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 941, 894, 82, 516
• GCD of 675, 151, 23, 482
• GCD of 804, 191, 61, 849
• GCD of 442, 473, 98, 891
• GCD of 213, 725, 75, 594

1. What is the GCD of 656, 670, 83, 727?

GCD of 656, 670, 83, 727 is 1

2. Where do I get the detailed procedure to find GCD of 656, 670, 83, 727?

You can find a detailed procedure to find GCD of 656, 670, 83, 727 on our page.

3. How to find GCD of 656, 670, 83, 727 on a calculator?

You can find the GCD of 656, 670, 83, 727 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.