GCD of 454, 815, 96, 674 Calculator

Given Input numbers are 454, 815, 96, 674

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 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 454, 815, 96, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 454, 815, 96, 674 is 1.

Therefore, GCD of numbers 454, 815, 96, 674 is 1

Given Input Data is 454, 815, 96, 674

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

Prime Factorization of 454 is 2 x 227

Prime Factorization of 815 is 5 x 163

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 674 is 2 x 337

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, 815) = 370010

GCD(454, 815) = ( 454 x 815 ) / 370010

GCD(454, 815) = 370010 / 370010

GCD(454, 815) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

GCD of 454, 815, 96, 674 is 1

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1. What is the GCD of 454, 815, 96, 674?

GCD of 454, 815, 96, 674 is 1

2. Where do I get the detailed procedure to find GCD of 454, 815, 96, 674?

You can find a detailed procedure to find GCD of 454, 815, 96, 674 on our page.

3. How to find GCD of 454, 815, 96, 674 on a calculator?

You can find the GCD of 454, 815, 96, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.