GCD of 412, 354, 689, 919 Calculator

Given Input numbers are 412, 354, 689, 919

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

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Greatest Common Divisior

We found the divisors of 412, 354, 689, 919 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 412, 354, 689, 919 is 1.

Therefore, GCD of numbers 412, 354, 689, 919 is 1

Given Input Data is 412, 354, 689, 919

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

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 689 is 13 x 53

Prime Factorization of 919 is 919

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(412, 354) = 72924

GCD(412, 354) = ( 412 x 354 ) / 72924

GCD(412, 354) = 145848 / 72924

GCD(412, 354) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 689

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

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

GCD(2, 689) = 1378 / 1378

GCD(2, 689) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 919

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

LCM(1, 919) = 919

GCD(1, 919) = ( 1 x 919 ) / 919

GCD(1, 919) = 919 / 919

GCD(1, 919) = 1

GCD of 412, 354, 689, 919 is 1

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• GCD of 518, 200, 338, 891
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1. What is the GCD of 412, 354, 689, 919?

GCD of 412, 354, 689, 919 is 1

2. Where do I get the detailed procedure to find GCD of 412, 354, 689, 919?

You can find a detailed procedure to find GCD of 412, 354, 689, 919 on our page.

3. How to find GCD of 412, 354, 689, 919 on a calculator?

You can find the GCD of 412, 354, 689, 919 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.