GCD of 309, 112, 324, 680 Calculator

Given Input numbers are 309, 112, 324, 680

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 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

GCD of numbers is the greatest common divisor

So, the GCD (309, 112, 324, 680) = 1.

Given numbers are 309, 112, 324, 680

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

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

Given numbers are 309, 112, 324, 680

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

Apply this formula for all numbers.

Step1:

LCM(309, 112) = 34608

GCD(309, 112) = ( 309 x 112 ) / 34608

= 309 / 112

= 309

Step2:

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

= 1 / 324

= 1

Step3:

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

= 1 / 680

= 1

So, Greatest Common Divisor of 309, 112, 324, 680 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 969, 478, 676, 689
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Given numbers are 309, 112, 324, 680
The greatest common divisor of numbers 309, 112, 324, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 112, 324, 680 is 1.

1. What is the GCD of 309, 112, 324, 680?

GCD of given numbers 309, 112, 324, 680 is 1

2. How to calculate the greatest common divisor of 309, 112, 324, 680?

We can find the highest common divisor of 309, 112, 324, 680 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, 112, 324, 680 i.e 1.

3. How can I use the GCD of 309, 112, 324, 680Calculator?

Out the numbers 309, 112, 324, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.