GCD of 349, 365, 472, 289 Calculator

Given Input numbers are 349, 365, 472, 289

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

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 289 :

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

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (349, 365, 472, 289) = 1.

Given numbers are 349, 365, 472, 289

The list of prime factors of all numbers are

Prime factors of 349 are 349

Prime factors of 365 are 5 x 73

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 289 are 17 x 17

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

Given numbers are 349, 365, 472, 289

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

Apply this formula for all numbers.

Step1:

LCM(349, 365) = 127385

GCD(349, 365) = ( 349 x 365 ) / 127385

= 349 / 365

= 349

Step2:

LCM(1, 472) = 472

GCD(1, 472) = ( 1 x 472 ) / 472

= 1 / 472

= 1

Step3:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1

So, Greatest Common Divisor of 349, 365, 472, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 281, 429, 489, 961
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• GCD of 884, 176, 185, 515
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• GCD of 665, 852, 877, 764

Given numbers are 349, 365, 472, 289
The greatest common divisor of numbers 349, 365, 472, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 349, 365, 472, 289 is 1.

1. What is the GCD of 349, 365, 472, 289?

GCD of given numbers 349, 365, 472, 289 is 1

2. How to calculate the greatest common divisor of 349, 365, 472, 289?

We can find the highest common divisor of 349, 365, 472, 289 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 349, 365, 472, 289 i.e 1.

3. How can I use the GCD of 349, 365, 472, 289Calculator?

Out the numbers 349, 365, 472, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.