GCD of 304, 272, 314, 122 Calculator

Given Input numbers are 304, 272, 314, 122

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

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 314 :

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

1, 2, 157, 314

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

GCD of numbers is the greatest common divisor

So, the GCD (304, 272, 314, 122) = 2.

Given numbers are 304, 272, 314, 122

The list of prime factors of all numbers are

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 314 are 2 x 157

Prime factors of 122 are 2 x 61

The highest common occurrence is 2¹

Therefore, GCD of 304, 272, 314, 122 is 2.

Given numbers are 304, 272, 314, 122

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

Apply this formula for all numbers.

Step1:

LCM(304, 272) = 5168

GCD(304, 272) = ( 304 x 272 ) / 5168

= 304 / 272

= 304

Step2:

LCM(16, 314) = 2512

GCD(16, 314) = ( 16 x 314 ) / 2512

= 16 / 314

= 16

Step3:

LCM(2, 122) = 122

GCD(2, 122) = ( 2 x 122 ) / 122

= 2 / 122

= 2

So, Greatest Common Divisor of 304, 272, 314, 122 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 271, 294, 730, 956
• GCD of 260, 278, 777, 700
• GCD of 469, 752, 855, 672
• GCD of 153, 675, 204, 380
• GCD of 974, 985, 260, 538

Given numbers are 304, 272, 314, 122
The greatest common divisor of numbers 304, 272, 314, 122 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 304, 272, 314, 122 is 2.

1. What is the GCD of 304, 272, 314, 122?

GCD of given numbers 304, 272, 314, 122 is 2

2. How to calculate the greatest common divisor of 304, 272, 314, 122?

We can find the highest common divisor of 304, 272, 314, 122 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 304, 272, 314, 122 i.e 2.

3. How can I use the GCD of 304, 272, 314, 122Calculator?

Out the numbers 304, 272, 314, 122 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.