GCD of 723, 339, 381, 117 Calculator

Given Input numbers are 723, 339, 381, 117

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

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 339 :

The positive integer divisors of 339 that completely divides 339 are.

1, 3, 113, 339

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

GCD of numbers is the greatest common divisor

So, the GCD (723, 339, 381, 117) = 3.

Given numbers are 723, 339, 381, 117

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 339 are 3 x 113

Prime factors of 381 are 3 x 127

Prime factors of 117 are 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 723, 339, 381, 117 is 3.

Given numbers are 723, 339, 381, 117

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

Apply this formula for all numbers.

Step1:

LCM(723, 339) = 81699

GCD(723, 339) = ( 723 x 339 ) / 81699

= 723 / 339

= 723

Step2:

LCM(3, 381) = 381

GCD(3, 381) = ( 3 x 381 ) / 381

= 3 / 381

= 3

Step3:

LCM(3, 117) = 117

GCD(3, 117) = ( 3 x 117 ) / 117

= 3 / 117

= 3

So, Greatest Common Divisor of 723, 339, 381, 117 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 381, 678, 814, 603
• GCD of 256, 654, 294, 321
• GCD of 196, 631, 562, 906
• GCD of 921, 536, 341, 753
• GCD of 799, 367, 851, 843

Given numbers are 723, 339, 381, 117
The greatest common divisor of numbers 723, 339, 381, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 339, 381, 117 is 3.

1. What is the GCD of 723, 339, 381, 117?

GCD of given numbers 723, 339, 381, 117 is 3

2. How to calculate the greatest common divisor of 723, 339, 381, 117?

We can find the highest common divisor of 723, 339, 381, 117 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 723, 339, 381, 117 i.e 3.

3. How can I use the GCD of 723, 339, 381, 117Calculator?

Out the numbers 723, 339, 381, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.