GCD of 289, 761, 738, 379 Calculator

Given Input numbers are 289, 761, 738, 379

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

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Greatest Common Divisior

We found the divisors of 289, 761, 738, 379 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 761, 738, 379 is 1.

Therefore, GCD of numbers 289, 761, 738, 379 is 1

Given Input Data is 289, 761, 738, 379

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 761 is 761

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 379 is 379

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(289, 761) = 219929

GCD(289, 761) = ( 289 x 761 ) / 219929

GCD(289, 761) = 219929 / 219929

GCD(289, 761) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 379

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

LCM(1, 379) = 379

GCD(1, 379) = ( 1 x 379 ) / 379

GCD(1, 379) = 379 / 379

GCD(1, 379) = 1

GCD of 289, 761, 738, 379 is 1

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1. What is the GCD of 289, 761, 738, 379?

GCD of 289, 761, 738, 379 is 1

2. Where do I get the detailed procedure to find GCD of 289, 761, 738, 379?

You can find a detailed procedure to find GCD of 289, 761, 738, 379 on our page.

3. How to find GCD of 289, 761, 738, 379 on a calculator?

You can find the GCD of 289, 761, 738, 379 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.