GCD of 289, 738, 731, 497 Calculator

Given Input numbers are 289, 738, 731, 497

In the factoring method, we have to find the divisors of all numbers

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

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

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

GCD of numbers is the greatest common divisor

So, the GCD (289, 738, 731, 497) = 1.

Given numbers are 289, 738, 731, 497

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 731 are 17 x 43

Prime factors of 497 are 7 x 71

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 289, 738, 731, 497

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(289, 738) = 213282

GCD(289, 738) = ( 289 x 738 ) / 213282

= 289 / 738

= 289

Step2:

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

= 1 / 731

= 1

Step3:

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

= 1 / 497

= 1

So, Greatest Common Divisor of 289, 738, 731, 497 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 896, 604, 713, 704
• GCD of 615, 976, 686, 503
• GCD of 366, 532, 963, 304
• GCD of 440, 848, 651, 688
• GCD of 744, 341, 512, 563

Given numbers are 289, 738, 731, 497
The greatest common divisor of numbers 289, 738, 731, 497 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 738, 731, 497 is 1.

1. What is the GCD of 289, 738, 731, 497?

GCD of given numbers 289, 738, 731, 497 is 1

2. How to calculate the greatest common divisor of 289, 738, 731, 497?

We can find the highest common divisor of 289, 738, 731, 497 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 289, 738, 731, 497 i.e 1.

3. How can I use the GCD of 289, 738, 731, 497Calculator?

Out the numbers 289, 738, 731, 497 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.