GCD of 598, 701, 74, 329 Calculator

Given Input numbers are 598, 701, 74, 329

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

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Greatest Common Divisior

We found the divisors of 598, 701, 74, 329 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 701, 74, 329 is 1.

Therefore, GCD of numbers 598, 701, 74, 329 is 1

Given Input Data is 598, 701, 74, 329

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

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 701 is 701

Prime Factorization of 74 is 2 x 37

Prime Factorization of 329 is 7 x 47

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(598, 701) = 419198

GCD(598, 701) = ( 598 x 701 ) / 419198

GCD(598, 701) = 419198 / 419198

GCD(598, 701) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 329

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

LCM(1, 329) = 329

GCD(1, 329) = ( 1 x 329 ) / 329

GCD(1, 329) = 329 / 329

GCD(1, 329) = 1

GCD of 598, 701, 74, 329 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 159, 416, 20, 772
• GCD of 707, 245, 16, 138
• GCD of 192, 462, 82, 784
• GCD of 937, 759, 74, 623
• GCD of 408, 618, 22, 256

1. What is the GCD of 598, 701, 74, 329?

GCD of 598, 701, 74, 329 is 1

2. Where do I get the detailed procedure to find GCD of 598, 701, 74, 329?

You can find a detailed procedure to find GCD of 598, 701, 74, 329 on our page.

3. How to find GCD of 598, 701, 74, 329 on a calculator?

You can find the GCD of 598, 701, 74, 329 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.