GCD of 289, 974, 65, 747 Calculator

Given Input numbers are 289, 974, 65, 747

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 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 289, 974, 65, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 974, 65, 747 is 1.

Therefore, GCD of numbers 289, 974, 65, 747 is 1

Given Input Data is 289, 974, 65, 747

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 974 is 2 x 487

Prime Factorization of 65 is 5 x 13

Prime Factorization of 747 is 3 x 3 x 83

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, 974) = 281486

GCD(289, 974) = ( 289 x 974 ) / 281486

GCD(289, 974) = 281486 / 281486

GCD(289, 974) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 747

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

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

GCD(1, 747) = 747 / 747

GCD(1, 747) = 1

GCD of 289, 974, 65, 747 is 1

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1. What is the GCD of 289, 974, 65, 747?

GCD of 289, 974, 65, 747 is 1

2. Where do I get the detailed procedure to find GCD of 289, 974, 65, 747?

You can find a detailed procedure to find GCD of 289, 974, 65, 747 on our page.

3. How to find GCD of 289, 974, 65, 747 on a calculator?

You can find the GCD of 289, 974, 65, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.