GCD of 446, 971, 808, 340 Calculator

Given Input numbers are 446, 971, 808, 340

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

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

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

Greatest Common Divisior

We found the divisors of 446, 971, 808, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 446, 971, 808, 340 is 1.

Therefore, GCD of numbers 446, 971, 808, 340 is 1

Given Input Data is 446, 971, 808, 340

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 971 is 971

Prime Factorization of 808 is 2 x 2 x 2 x 101

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

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(446, 971) = 433066

GCD(446, 971) = ( 446 x 971 ) / 433066

GCD(446, 971) = 433066 / 433066

GCD(446, 971) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 808

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

LCM(1, 808) = 808

GCD(1, 808) = ( 1 x 808 ) / 808

GCD(1, 808) = 808 / 808

GCD(1, 808) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 340

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

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

GCD(1, 340) = 340 / 340

GCD(1, 340) = 1

GCD of 446, 971, 808, 340 is 1

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• GCD of 702, 139, 955, 496
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• GCD of 466, 200, 917, 147

1. What is the GCD of 446, 971, 808, 340?

GCD of 446, 971, 808, 340 is 1

2. Where do I get the detailed procedure to find GCD of 446, 971, 808, 340?

You can find a detailed procedure to find GCD of 446, 971, 808, 340 on our page.

3. How to find GCD of 446, 971, 808, 340 on a calculator?

You can find the GCD of 446, 971, 808, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.