GCD of 321, 441, 705 Calculator

Given Input numbers are 321, 441, 705

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

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

GCD of numbers is the greatest common divisor

So, the GCD (321, 441, 705) = 3.

Given numbers are 321, 441, 705

The list of prime factors of all numbers are

Prime factors of 321 are 3 x 107

Prime factors of 441 are 3 x 3 x 7 x 7

Prime factors of 705 are 3 x 5 x 47

The highest common occurrence is 3¹

Therefore, GCD of 321, 441, 705 is 3.

Given numbers are 321, 441, 705

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

Apply this formula for all numbers.

Step1:

LCM(321, 441) = 47187

GCD(321, 441) = ( 321 x 441 ) / 47187

= 321 / 441

= 321

Step2:

LCM(3, 705) = 705

GCD(3, 705) = ( 3 x 705 ) / 705

= 3 / 705

= 3

So, Greatest Common Divisor of 321, 441, 705 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 753, 164, 869
• GCD of 739, 185, 338
• GCD of 505, 103, 782
• GCD of 373, 356, 760
• GCD of 836, 615, 462

Given numbers are 321, 441, 705
The greatest common divisor of numbers 321, 441, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 321, 441, 705 is 3.

1. What is the GCD of 321, 441, 705?

GCD of given numbers 321, 441, 705 is 3

2. How to calculate the greatest common divisor of 321, 441, 705?

We can find the highest common divisor of 321, 441, 705 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 321, 441, 705 i.e 3.

3. How can I use the GCD of 321, 441, 705Calculator?

Out the numbers 321, 441, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.