GCD of 454, 608, 407, 350 Calculator

Given Input numbers are 454, 608, 407, 350

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

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Greatest Common Divisior

We found the divisors of 454, 608, 407, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 454, 608, 407, 350 is 1.

Therefore, GCD of numbers 454, 608, 407, 350 is 1

Given Input Data is 454, 608, 407, 350

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

Prime Factorization of 454 is 2 x 227

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 407 is 11 x 37

Prime Factorization of 350 is 2 x 5 x 5 x 7

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(454, 608) = 138016

GCD(454, 608) = ( 454 x 608 ) / 138016

GCD(454, 608) = 276032 / 138016

GCD(454, 608) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 407

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

LCM(2, 407) = 814

GCD(2, 407) = ( 2 x 407 ) / 814

GCD(2, 407) = 814 / 814

GCD(2, 407) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 350

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

LCM(1, 350) = 350

GCD(1, 350) = ( 1 x 350 ) / 350

GCD(1, 350) = 350 / 350

GCD(1, 350) = 1

GCD of 454, 608, 407, 350 is 1

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1. What is the GCD of 454, 608, 407, 350?

GCD of 454, 608, 407, 350 is 1

2. Where do I get the detailed procedure to find GCD of 454, 608, 407, 350?

You can find a detailed procedure to find GCD of 454, 608, 407, 350 on our page.

3. How to find GCD of 454, 608, 407, 350 on a calculator?

You can find the GCD of 454, 608, 407, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.