GCD of 29, 208, 674, 370 Calculator

Given Input numbers are 29, 208, 674, 370

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

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 674

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

1, 2, 337, 674

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 29, 208, 674, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 208, 674, 370 is 1.

Therefore, GCD of numbers 29, 208, 674, 370 is 1

Given Input Data is 29, 208, 674, 370

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

Prime Factorization of 29 is 29

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 674 is 2 x 337

Prime Factorization of 370 is 2 x 5 x 37

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(29, 208) = 6032

GCD(29, 208) = ( 29 x 208 ) / 6032

GCD(29, 208) = 6032 / 6032

GCD(29, 208) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 370

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

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

GCD(1, 370) = 370 / 370

GCD(1, 370) = 1

GCD of 29, 208, 674, 370 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 841, 665, 402
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1. What is the GCD of 29, 208, 674, 370?

GCD of 29, 208, 674, 370 is 1

2. Where do I get the detailed procedure to find GCD of 29, 208, 674, 370?

You can find a detailed procedure to find GCD of 29, 208, 674, 370 on our page.

3. How to find GCD of 29, 208, 674, 370 on a calculator?

You can find the GCD of 29, 208, 674, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.