GCD of 289, 373, 745, 749 Calculator

Given Input numbers are 289, 373, 745, 749

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 373

List of positive integer divisors of 373 that divides 373 without a remainder.

1, 373

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Greatest Common Divisior

We found the divisors of 289, 373, 745, 749 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 373, 745, 749 is 1.

Therefore, GCD of numbers 289, 373, 745, 749 is 1

Given Input Data is 289, 373, 745, 749

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 373 is 373

Prime Factorization of 745 is 5 x 149

Prime Factorization of 749 is 7 x 107

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, 373) = 107797

GCD(289, 373) = ( 289 x 373 ) / 107797

GCD(289, 373) = 107797 / 107797

GCD(289, 373) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

GCD of 289, 373, 745, 749 is 1

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1. What is the GCD of 289, 373, 745, 749?

GCD of 289, 373, 745, 749 is 1

2. Where do I get the detailed procedure to find GCD of 289, 373, 745, 749?

You can find a detailed procedure to find GCD of 289, 373, 745, 749 on our page.

3. How to find GCD of 289, 373, 745, 749 on a calculator?

You can find the GCD of 289, 373, 745, 749 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.