GCD of 380, 364, 829, 289 Calculator

Given Input numbers are 380, 364, 829, 289

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

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 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 (380, 364, 829, 289) = 1.

Given numbers are 380, 364, 829, 289

The list of prime factors of all numbers are

Prime factors of 380 are 2 x 2 x 5 x 19

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

Prime factors of 829 are 829

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 380, 364, 829, 289

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

Apply this formula for all numbers.

Step1:

LCM(380, 364) = 34580

GCD(380, 364) = ( 380 x 364 ) / 34580

= 380 / 364

= 380

Step2:

LCM(4, 829) = 3316

GCD(4, 829) = ( 4 x 829 ) / 3316

= 4 / 829

= 4

Step3:

LCM(1, 289) = 289

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

= 1 / 289

= 1

So, Greatest Common Divisor of 380, 364, 829, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 575, 913, 703, 346
• GCD of 809, 478, 340, 116
• GCD of 595, 688, 526, 100
• GCD of 517, 355, 491, 669
• GCD of 337, 539, 856, 705

Given numbers are 380, 364, 829, 289
The greatest common divisor of numbers 380, 364, 829, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 364, 829, 289 is 1.

1. What is the GCD of 380, 364, 829, 289?

GCD of given numbers 380, 364, 829, 289 is 1

2. How to calculate the greatest common divisor of 380, 364, 829, 289?

We can find the highest common divisor of 380, 364, 829, 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 380, 364, 829, 289 i.e 1.

3. How can I use the GCD of 380, 364, 829, 289Calculator?

Out the numbers 380, 364, 829, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.