GCD of 309, 120, 336, 832 Calculator

Given Input numbers are 309, 120, 336, 832

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

GCD of numbers is the greatest common divisor

So, the GCD (309, 120, 336, 832) = 1.

Given numbers are 309, 120, 336, 832

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

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

Given numbers are 309, 120, 336, 832

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

Apply this formula for all numbers.

Step1:

LCM(309, 120) = 12360

GCD(309, 120) = ( 309 x 120 ) / 12360

= 309 / 120

= 309

Step2:

LCM(3, 336) = 336

GCD(3, 336) = ( 3 x 336 ) / 336

= 3 / 336

= 3

Step3:

LCM(3, 832) = 2496

GCD(3, 832) = ( 3 x 832 ) / 2496

= 3 / 832

= 3

So, Greatest Common Divisor of 309, 120, 336, 832 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 297, 984, 200, 556
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• GCD of 759, 329, 183, 801

Given numbers are 309, 120, 336, 832
The greatest common divisor of numbers 309, 120, 336, 832 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 120, 336, 832 is 1.

1. What is the GCD of 309, 120, 336, 832?

GCD of given numbers 309, 120, 336, 832 is 1

2. How to calculate the greatest common divisor of 309, 120, 336, 832?

We can find the highest common divisor of 309, 120, 336, 832 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 309, 120, 336, 832 i.e 1.

3. How can I use the GCD of 309, 120, 336, 832Calculator?

Out the numbers 309, 120, 336, 832 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.