GCD of 344, 309, 314, 772 Calculator

Given Input numbers are 344, 309, 314, 772

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

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 309 :

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

1, 3, 103, 309

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

GCD of numbers is the greatest common divisor

So, the GCD (344, 309, 314, 772) = 1.

Given numbers are 344, 309, 314, 772

The list of prime factors of all numbers are

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 309 are 3 x 103

Prime factors of 314 are 2 x 157

Prime factors of 772 are 2 x 2 x 193

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

Given numbers are 344, 309, 314, 772

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

Apply this formula for all numbers.

Step1:

LCM(344, 309) = 106296

GCD(344, 309) = ( 344 x 309 ) / 106296

= 344 / 309

= 344

Step2:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1

Step3:

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

= 1 / 772

= 1

So, Greatest Common Divisor of 344, 309, 314, 772 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 385, 634, 261, 662
• GCD of 966, 639, 611, 111
• GCD of 658, 946, 785, 300
• GCD of 345, 149, 211, 486
• GCD of 660, 731, 178, 200

Given numbers are 344, 309, 314, 772
The greatest common divisor of numbers 344, 309, 314, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 309, 314, 772 is 1.

1. What is the GCD of 344, 309, 314, 772?

GCD of given numbers 344, 309, 314, 772 is 1

2. How to calculate the greatest common divisor of 344, 309, 314, 772?

We can find the highest common divisor of 344, 309, 314, 772 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 344, 309, 314, 772 i.e 1.

3. How can I use the GCD of 344, 309, 314, 772Calculator?

Out the numbers 344, 309, 314, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.