GCD of 340, 410, 681, 970 Calculator

Given Input numbers are 340, 410, 681, 970

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Greatest Common Divisior

We found the divisors of 340, 410, 681, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 410, 681, 970 is 1.

Therefore, GCD of numbers 340, 410, 681, 970 is 1

Given Input Data is 340, 410, 681, 970

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 681 is 3 x 227

Prime Factorization of 970 is 2 x 5 x 97

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(340, 410) = 13940

GCD(340, 410) = ( 340 x 410 ) / 13940

GCD(340, 410) = 139400 / 13940

GCD(340, 410) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 681

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

LCM(10, 681) = 6810

GCD(10, 681) = ( 10 x 681 ) / 6810

GCD(10, 681) = 6810 / 6810

GCD(10, 681) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 970

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

LCM(1, 970) = 970

GCD(1, 970) = ( 1 x 970 ) / 970

GCD(1, 970) = 970 / 970

GCD(1, 970) = 1

GCD of 340, 410, 681, 970 is 1

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1. What is the GCD of 340, 410, 681, 970?

GCD of 340, 410, 681, 970 is 1

2. Where do I get the detailed procedure to find GCD of 340, 410, 681, 970?

You can find a detailed procedure to find GCD of 340, 410, 681, 970 on our page.

3. How to find GCD of 340, 410, 681, 970 on a calculator?

You can find the GCD of 340, 410, 681, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.