GCD of 289, 370, 739, 997 Calculator

Given Input numbers are 289, 370, 739, 997

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 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 739

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

1, 739

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Greatest Common Divisior

We found the divisors of 289, 370, 739, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 370, 739, 997 is 1.

Therefore, GCD of numbers 289, 370, 739, 997 is 1

Given Input Data is 289, 370, 739, 997

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 739 is 739

Prime Factorization of 997 is 997

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, 370) = 106930

GCD(289, 370) = ( 289 x 370 ) / 106930

GCD(289, 370) = 106930 / 106930

GCD(289, 370) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 739

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

LCM(1, 739) = 739

GCD(1, 739) = ( 1 x 739 ) / 739

GCD(1, 739) = 739 / 739

GCD(1, 739) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 997

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

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

GCD(1, 997) = 997 / 997

GCD(1, 997) = 1

GCD of 289, 370, 739, 997 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 677, 147, 430, 302
• GCD of 970, 290, 761, 109
• GCD of 542, 587, 858, 146
• GCD of 143, 717, 743, 695
• GCD of 297, 994, 306, 467

1. What is the GCD of 289, 370, 739, 997?

GCD of 289, 370, 739, 997 is 1

2. Where do I get the detailed procedure to find GCD of 289, 370, 739, 997?

You can find a detailed procedure to find GCD of 289, 370, 739, 997 on our page.

3. How to find GCD of 289, 370, 739, 997 on a calculator?

You can find the GCD of 289, 370, 739, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.