GCD of 701, 598, 31, 133 Calculator

Given Input numbers are 701, 598, 31, 133

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

Divisors of 701

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

1, 701

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 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 701, 598, 31, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 701, 598, 31, 133 is 1.

Therefore, GCD of numbers 701, 598, 31, 133 is 1

Given Input Data is 701, 598, 31, 133

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

Prime Factorization of 701 is 701

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 31 is 31

Prime Factorization of 133 is 7 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(701, 598) = 419198

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

GCD(701, 598) = 419198 / 419198

GCD(701, 598) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 133

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

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

GCD(1, 133) = 133 / 133

GCD(1, 133) = 1

GCD of 701, 598, 31, 133 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 790, 226, 17, 263
• GCD of 689, 231, 55, 221
• GCD of 712, 771, 40, 823
• GCD of 593, 358, 12, 907
• GCD of 477, 968, 46, 453

1. What is the GCD of 701, 598, 31, 133?

GCD of 701, 598, 31, 133 is 1

2. Where do I get the detailed procedure to find GCD of 701, 598, 31, 133?

You can find a detailed procedure to find GCD of 701, 598, 31, 133 on our page.

3. How to find GCD of 701, 598, 31, 133 on a calculator?

You can find the GCD of 701, 598, 31, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.