GCD of 321, 138, 705, 201 Calculator

Given Input numbers are 321, 138, 705, 201

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 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 705 :

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

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

Divisors of 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

GCD of numbers is the greatest common divisor

So, the GCD (321, 138, 705, 201) = 3.

Given numbers are 321, 138, 705, 201

The list of prime factors of all numbers are

Prime factors of 321 are 3 x 107

Prime factors of 138 are 2 x 3 x 23

Prime factors of 705 are 3 x 5 x 47

Prime factors of 201 are 3 x 67

The highest common occurrence is 3¹

Therefore, GCD of 321, 138, 705, 201 is 3.

Given numbers are 321, 138, 705, 201

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

Apply this formula for all numbers.

Step1:

LCM(321, 138) = 14766

GCD(321, 138) = ( 321 x 138 ) / 14766

= 321 / 138

= 321

Step2:

LCM(3, 705) = 705

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

= 3 / 705

= 3

Step3:

LCM(3, 201) = 201

GCD(3, 201) = ( 3 x 201 ) / 201

= 3 / 201

= 3

So, Greatest Common Divisor of 321, 138, 705, 201 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 143, 455, 570
• GCD of 348, 775, 520, 643
• GCD of 957, 348, 314, 622
• GCD of 704, 122, 393, 943
• GCD of 728, 979, 115, 397

Given numbers are 321, 138, 705, 201
The greatest common divisor of numbers 321, 138, 705, 201 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 321, 138, 705, 201 is 3.

1. What is the GCD of 321, 138, 705, 201?

GCD of given numbers 321, 138, 705, 201 is 3

2. How to calculate the greatest common divisor of 321, 138, 705, 201?

We can find the highest common divisor of 321, 138, 705, 201 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, 138, 705, 201 i.e 3.

3. How can I use the GCD of 321, 138, 705, 201Calculator?

Out the numbers 321, 138, 705, 201 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.