GCD of 680, 815, 41, 954 Calculator

Given Input numbers are 680, 815, 41, 954

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

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 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Greatest Common Divisior

We found the divisors of 680, 815, 41, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 815, 41, 954 is 1.

Therefore, GCD of numbers 680, 815, 41, 954 is 1

Given Input Data is 680, 815, 41, 954

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

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 41 is 41

Prime Factorization of 954 is 2 x 3 x 3 x 53

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(680, 815) = 110840

GCD(680, 815) = ( 680 x 815 ) / 110840

GCD(680, 815) = 554200 / 110840

GCD(680, 815) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 41

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

LCM(5, 41) = 205

GCD(5, 41) = ( 5 x 41 ) / 205

GCD(5, 41) = 205 / 205

GCD(5, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 954

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

LCM(1, 954) = 954

GCD(1, 954) = ( 1 x 954 ) / 954

GCD(1, 954) = 954 / 954

GCD(1, 954) = 1

GCD of 680, 815, 41, 954 is 1

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1. What is the GCD of 680, 815, 41, 954?

GCD of 680, 815, 41, 954 is 1

2. Where do I get the detailed procedure to find GCD of 680, 815, 41, 954?

You can find a detailed procedure to find GCD of 680, 815, 41, 954 on our page.

3. How to find GCD of 680, 815, 41, 954 on a calculator?

You can find the GCD of 680, 815, 41, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.