GCD of 165, 598, 703, 138 Calculator

Given Input numbers are 165, 598, 703, 138

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

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

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 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 165, 598, 703, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 598, 703, 138 is 1.

Therefore, GCD of numbers 165, 598, 703, 138 is 1

Given Input Data is 165, 598, 703, 138

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 703 is 19 x 37

Prime Factorization of 138 is 2 x 3 x 23

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(165, 598) = 98670

GCD(165, 598) = ( 165 x 598 ) / 98670

GCD(165, 598) = 98670 / 98670

GCD(165, 598) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 703

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

LCM(1, 703) = 703

GCD(1, 703) = ( 1 x 703 ) / 703

GCD(1, 703) = 703 / 703

GCD(1, 703) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 165, 598, 703, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 819, 329, 874, 991
• GCD of 263, 804, 324, 129
• GCD of 128, 197, 700, 974
• GCD of 355, 140, 881, 459
• GCD of 746, 405, 494, 275

1. What is the GCD of 165, 598, 703, 138?

GCD of 165, 598, 703, 138 is 1

2. Where do I get the detailed procedure to find GCD of 165, 598, 703, 138?

You can find a detailed procedure to find GCD of 165, 598, 703, 138 on our page.

3. How to find GCD of 165, 598, 703, 138 on a calculator?

You can find the GCD of 165, 598, 703, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.