GCD of 329, 371, 364, 800 Calculator

Given Input numbers are 329, 371, 364, 800

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

Divisors of 329 :

The positive integer divisors of 329 that completely divides 329 are.

1, 7, 47, 329

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

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 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

GCD of numbers is the greatest common divisor

So, the GCD (329, 371, 364, 800) = 1.

Given numbers are 329, 371, 364, 800

The list of prime factors of all numbers are

Prime factors of 329 are 7 x 47

Prime factors of 371 are 7 x 53

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

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

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

Given numbers are 329, 371, 364, 800

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

Apply this formula for all numbers.

Step1:

LCM(329, 371) = 17437

GCD(329, 371) = ( 329 x 371 ) / 17437

= 329 / 371

= 329

Step2:

LCM(7, 364) = 364

GCD(7, 364) = ( 7 x 364 ) / 364

= 7 / 364

= 7

Step3:

LCM(7, 800) = 5600

GCD(7, 800) = ( 7 x 800 ) / 5600

= 7 / 800

= 7

So, Greatest Common Divisor of 329, 371, 364, 800 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 392, 393, 257, 161
• GCD of 265, 168, 572, 597
• GCD of 203, 723, 989, 599
• GCD of 716, 658, 101, 602
• GCD of 641, 336, 494, 522

Given numbers are 329, 371, 364, 800
The greatest common divisor of numbers 329, 371, 364, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 329, 371, 364, 800 is 1.

1. What is the GCD of 329, 371, 364, 800?

GCD of given numbers 329, 371, 364, 800 is 1

2. How to calculate the greatest common divisor of 329, 371, 364, 800?

We can find the highest common divisor of 329, 371, 364, 800 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 329, 371, 364, 800 i.e 1.

3. How can I use the GCD of 329, 371, 364, 800Calculator?

Out the numbers 329, 371, 364, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.