GCD of 759, 399, 354, 339 Calculator

Given Input numbers are 759, 399, 354, 339

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

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 339 :

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

1, 3, 113, 339

GCD of numbers is the greatest common divisor

So, the GCD (759, 399, 354, 339) = 3.

Given numbers are 759, 399, 354, 339

The list of prime factors of all numbers are

Prime factors of 759 are 3 x 11 x 23

Prime factors of 399 are 3 x 7 x 19

Prime factors of 354 are 2 x 3 x 59

Prime factors of 339 are 3 x 113

The highest common occurrence is 3¹

Therefore, GCD of 759, 399, 354, 339 is 3.

Given numbers are 759, 399, 354, 339

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

Apply this formula for all numbers.

Step1:

LCM(759, 399) = 100947

GCD(759, 399) = ( 759 x 399 ) / 100947

= 759 / 399

= 759

Step2:

LCM(3, 354) = 354

GCD(3, 354) = ( 3 x 354 ) / 354

= 3 / 354

= 3

Step3:

LCM(3, 339) = 339

GCD(3, 339) = ( 3 x 339 ) / 339

= 3 / 339

= 3

So, Greatest Common Divisor of 759, 399, 354, 339 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 585, 470, 151, 314
• GCD of 871, 440, 725, 287
• GCD of 530, 606, 359, 851
• GCD of 970, 295, 359, 378
• GCD of 348, 367, 161, 397

Given numbers are 759, 399, 354, 339
The greatest common divisor of numbers 759, 399, 354, 339 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 759, 399, 354, 339 is 3.

1. What is the GCD of 759, 399, 354, 339?

GCD of given numbers 759, 399, 354, 339 is 3

2. How to calculate the greatest common divisor of 759, 399, 354, 339?

We can find the highest common divisor of 759, 399, 354, 339 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 759, 399, 354, 339 i.e 3.

3. How can I use the GCD of 759, 399, 354, 339Calculator?

Out the numbers 759, 399, 354, 339 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.