GCD of 339, 729, 505, 961 Calculator

Given Input numbers are 339, 729, 505, 961

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

Divisors of 339 :

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

1, 3, 113, 339

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

GCD of numbers is the greatest common divisor

So, the GCD (339, 729, 505, 961) = 1.

Given numbers are 339, 729, 505, 961

The list of prime factors of all numbers are

Prime factors of 339 are 3 x 113

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 505 are 5 x 101

Prime factors of 961 are 31 x 31

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

Given numbers are 339, 729, 505, 961

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

Apply this formula for all numbers.

Step1:

LCM(339, 729) = 82377

GCD(339, 729) = ( 339 x 729 ) / 82377

= 339 / 729

= 339

Step2:

LCM(3, 505) = 1515

GCD(3, 505) = ( 3 x 505 ) / 1515

= 3 / 505

= 3

Step3:

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

= 1 / 961

= 1

So, Greatest Common Divisor of 339, 729, 505, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 894, 569, 719, 325
• GCD of 529, 231, 155, 140
• GCD of 313, 200, 974, 739
• GCD of 727, 198, 798, 520
• GCD of 169, 248, 563, 617

Given numbers are 339, 729, 505, 961
The greatest common divisor of numbers 339, 729, 505, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 339, 729, 505, 961 is 1.

1. What is the GCD of 339, 729, 505, 961?

GCD of given numbers 339, 729, 505, 961 is 1

2. How to calculate the greatest common divisor of 339, 729, 505, 961?

We can find the highest common divisor of 339, 729, 505, 961 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 339, 729, 505, 961 i.e 1.

3. How can I use the GCD of 339, 729, 505, 961Calculator?

Out the numbers 339, 729, 505, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.