GCD of 656, 870, 134, 835 Calculator

Given Input numbers are 656, 870, 134, 835

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 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Greatest Common Divisior

We found the divisors of 656, 870, 134, 835 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 870, 134, 835 is 1.

Therefore, GCD of numbers 656, 870, 134, 835 is 1

Given Input Data is 656, 870, 134, 835

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 870 is 2 x 3 x 5 x 29

Prime Factorization of 134 is 2 x 67

Prime Factorization of 835 is 5 x 167

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, 870) = 285360

GCD(656, 870) = ( 656 x 870 ) / 285360

GCD(656, 870) = 570720 / 285360

GCD(656, 870) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 134

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

LCM(2, 134) = 134

GCD(2, 134) = ( 2 x 134 ) / 134

GCD(2, 134) = 268 / 134

GCD(2, 134) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 835

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

LCM(2, 835) = 1670

GCD(2, 835) = ( 2 x 835 ) / 1670

GCD(2, 835) = 1670 / 1670

GCD(2, 835) = 1

GCD of 656, 870, 134, 835 is 1

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1. What is the GCD of 656, 870, 134, 835?

GCD of 656, 870, 134, 835 is 1

2. Where do I get the detailed procedure to find GCD of 656, 870, 134, 835?

You can find a detailed procedure to find GCD of 656, 870, 134, 835 on our page.

3. How to find GCD of 656, 870, 134, 835 on a calculator?

You can find the GCD of 656, 870, 134, 835 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.