GCD of 289, 364, 829, 287 Calculator

Given Input numbers are 289, 364, 829, 287

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 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 287 :

The positive integer divisors of 287 that completely divides 287 are.

1, 7, 41, 287

GCD of numbers is the greatest common divisor

So, the GCD (289, 364, 829, 287) = 1.

Given numbers are 289, 364, 829, 287

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 829 are 829

Prime factors of 287 are 7 x 41

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

Given numbers are 289, 364, 829, 287

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

Apply this formula for all numbers.

Step1:

LCM(289, 364) = 105196

GCD(289, 364) = ( 289 x 364 ) / 105196

= 289 / 364

= 289

Step2:

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

= 1 / 829

= 1

Step3:

LCM(1, 287) = 287

GCD(1, 287) = ( 1 x 287 ) / 287

= 1 / 287

= 1

So, Greatest Common Divisor of 289, 364, 829, 287 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 970, 192, 631, 104
• GCD of 552, 887, 826, 880
• GCD of 318, 160, 926, 165
• GCD of 126, 995, 721, 463
• GCD of 819, 936, 450, 292

Given numbers are 289, 364, 829, 287
The greatest common divisor of numbers 289, 364, 829, 287 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 364, 829, 287 is 1.

1. What is the GCD of 289, 364, 829, 287?

GCD of given numbers 289, 364, 829, 287 is 1

2. How to calculate the greatest common divisor of 289, 364, 829, 287?

We can find the highest common divisor of 289, 364, 829, 287 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, 364, 829, 287 i.e 1.

3. How can I use the GCD of 289, 364, 829, 287Calculator?

Out the numbers 289, 364, 829, 287 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.