GCD of 739, 119, 17, 348 Calculator

Given Input numbers are 739, 119, 17, 348

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

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 739, 119, 17, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 739, 119, 17, 348 is 1.

Therefore, GCD of numbers 739, 119, 17, 348 is 1

Given Input Data is 739, 119, 17, 348

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

Prime Factorization of 739 is 739

Prime Factorization of 119 is 7 x 17

Prime Factorization of 17 is 17

Prime Factorization of 348 is 2 x 2 x 3 x 29

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(739, 119) = 87941

GCD(739, 119) = ( 739 x 119 ) / 87941

GCD(739, 119) = 87941 / 87941

GCD(739, 119) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

GCD of 739, 119, 17, 348 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 886, 824, 87, 215
• GCD of 118, 540, 78, 852
• GCD of 753, 810, 58, 915
• GCD of 372, 231, 13, 695
• GCD of 743, 435, 12, 664

1. What is the GCD of 739, 119, 17, 348?

GCD of 739, 119, 17, 348 is 1

2. Where do I get the detailed procedure to find GCD of 739, 119, 17, 348?

You can find a detailed procedure to find GCD of 739, 119, 17, 348 on our page.

3. How to find GCD of 739, 119, 17, 348 on a calculator?

You can find the GCD of 739, 119, 17, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.