GCD of 940, 894, 509, 341 Calculator

Given Input numbers are 940, 894, 509, 341

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

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 940, 894, 509, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 894, 509, 341 is 1.

Therefore, GCD of numbers 940, 894, 509, 341 is 1

Given Input Data is 940, 894, 509, 341

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

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 509 is 509

Prime Factorization of 341 is 11 x 31

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(940, 894) = 420180

GCD(940, 894) = ( 940 x 894 ) / 420180

GCD(940, 894) = 840360 / 420180

GCD(940, 894) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 509

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

LCM(2, 509) = 1018

GCD(2, 509) = ( 2 x 509 ) / 1018

GCD(2, 509) = 1018 / 1018

GCD(2, 509) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 341

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

LCM(1, 341) = 341

GCD(1, 341) = ( 1 x 341 ) / 341

GCD(1, 341) = 341 / 341

GCD(1, 341) = 1

GCD of 940, 894, 509, 341 is 1

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• GCD of 822, 220, 159, 437
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1. What is the GCD of 940, 894, 509, 341?

GCD of 940, 894, 509, 341 is 1

2. Where do I get the detailed procedure to find GCD of 940, 894, 509, 341?

You can find a detailed procedure to find GCD of 940, 894, 509, 341 on our page.

3. How to find GCD of 940, 894, 509, 341 on a calculator?

You can find the GCD of 940, 894, 509, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.