GCD of 674, 214, 25, 565 Calculator

Given Input numbers are 674, 214, 25, 565

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 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Greatest Common Divisior

We found the divisors of 674, 214, 25, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 214, 25, 565 is 1.

Therefore, GCD of numbers 674, 214, 25, 565 is 1

Given Input Data is 674, 214, 25, 565

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 214 is 2 x 107

Prime Factorization of 25 is 5 x 5

Prime Factorization of 565 is 5 x 113

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, 214) = 72118

GCD(674, 214) = ( 674 x 214 ) / 72118

GCD(674, 214) = 144236 / 72118

GCD(674, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 25

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

LCM(2, 25) = 50

GCD(2, 25) = ( 2 x 25 ) / 50

GCD(2, 25) = 50 / 50

GCD(2, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 565

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

LCM(1, 565) = 565

GCD(1, 565) = ( 1 x 565 ) / 565

GCD(1, 565) = 565 / 565

GCD(1, 565) = 1

GCD of 674, 214, 25, 565 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 439, 333, 18, 618
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• GCD of 404, 432, 20, 169
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• GCD of 254, 168, 89, 144

1. What is the GCD of 674, 214, 25, 565?

GCD of 674, 214, 25, 565 is 1

2. Where do I get the detailed procedure to find GCD of 674, 214, 25, 565?

You can find a detailed procedure to find GCD of 674, 214, 25, 565 on our page.

3. How to find GCD of 674, 214, 25, 565 on a calculator?

You can find the GCD of 674, 214, 25, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.