GCD of 674, 541, 428, 209 Calculator

Given Input numbers are 674, 541, 428, 209

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

Divisors of 674

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

1, 2, 337, 674

Divisors of 541

List of positive integer divisors of 541 that divides 541 without a remainder.

1, 541

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Greatest Common Divisior

We found the divisors of 674, 541, 428, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 541, 428, 209 is 1.

Therefore, GCD of numbers 674, 541, 428, 209 is 1

Given Input Data is 674, 541, 428, 209

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 541 is 541

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 209 is 11 x 19

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(674, 541) = 364634

GCD(674, 541) = ( 674 x 541 ) / 364634

GCD(674, 541) = 364634 / 364634

GCD(674, 541) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 428

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

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

GCD(1, 428) = 428 / 428

GCD(1, 428) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1

GCD of 674, 541, 428, 209 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 340, 783, 681, 864
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• GCD of 424, 151, 339, 577
• GCD of 371, 837, 293, 608

1. What is the GCD of 674, 541, 428, 209?

GCD of 674, 541, 428, 209 is 1

2. Where do I get the detailed procedure to find GCD of 674, 541, 428, 209?

You can find a detailed procedure to find GCD of 674, 541, 428, 209 on our page.

3. How to find GCD of 674, 541, 428, 209 on a calculator?

You can find the GCD of 674, 541, 428, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.