GCD of 134, 680, 815, 419 Calculator

Given Input numbers are 134, 680, 815, 419

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

Divisors of 134

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

1, 2, 67, 134

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Greatest Common Divisior

We found the divisors of 134, 680, 815, 419 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 680, 815, 419 is 1.

Therefore, GCD of numbers 134, 680, 815, 419 is 1

Given Input Data is 134, 680, 815, 419

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

Prime Factorization of 134 is 2 x 67

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 815 is 5 x 163

Prime Factorization of 419 is 419

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(134, 680) = 45560

GCD(134, 680) = ( 134 x 680 ) / 45560

GCD(134, 680) = 91120 / 45560

GCD(134, 680) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 815

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

LCM(2, 815) = 1630

GCD(2, 815) = ( 2 x 815 ) / 1630

GCD(2, 815) = 1630 / 1630

GCD(2, 815) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 419

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

LCM(1, 419) = 419

GCD(1, 419) = ( 1 x 419 ) / 419

GCD(1, 419) = 419 / 419

GCD(1, 419) = 1

GCD of 134, 680, 815, 419 is 1

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1. What is the GCD of 134, 680, 815, 419?

GCD of 134, 680, 815, 419 is 1

2. Where do I get the detailed procedure to find GCD of 134, 680, 815, 419?

You can find a detailed procedure to find GCD of 134, 680, 815, 419 on our page.

3. How to find GCD of 134, 680, 815, 419 on a calculator?

You can find the GCD of 134, 680, 815, 419 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.