GCD of 349, 674, 89, 453 Calculator

Given Input numbers are 349, 674, 89, 453

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

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 674

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

1, 2, 337, 674

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Greatest Common Divisior

We found the divisors of 349, 674, 89, 453 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 674, 89, 453 is 1.

Therefore, GCD of numbers 349, 674, 89, 453 is 1

Given Input Data is 349, 674, 89, 453

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

Prime Factorization of 349 is 349

Prime Factorization of 674 is 2 x 337

Prime Factorization of 89 is 89

Prime Factorization of 453 is 3 x 151

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(349, 674) = 235226

GCD(349, 674) = ( 349 x 674 ) / 235226

GCD(349, 674) = 235226 / 235226

GCD(349, 674) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 453

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

LCM(1, 453) = 453

GCD(1, 453) = ( 1 x 453 ) / 453

GCD(1, 453) = 453 / 453

GCD(1, 453) = 1

GCD of 349, 674, 89, 453 is 1

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1. What is the GCD of 349, 674, 89, 453?

GCD of 349, 674, 89, 453 is 1

2. Where do I get the detailed procedure to find GCD of 349, 674, 89, 453?

You can find a detailed procedure to find GCD of 349, 674, 89, 453 on our page.

3. How to find GCD of 349, 674, 89, 453 on a calculator?

You can find the GCD of 349, 674, 89, 453 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.