GCD of 370, 114, 480, 304 Calculator

Given Input numbers are 370, 114, 480, 304

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

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 304 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (370, 114, 480, 304) = 2.

Given numbers are 370, 114, 480, 304

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 114 are 2 x 3 x 19

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 370, 114, 480, 304 is 2.

Given numbers are 370, 114, 480, 304

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

Apply this formula for all numbers.

Step1:

LCM(370, 114) = 21090

GCD(370, 114) = ( 370 x 114 ) / 21090

= 370 / 114

= 370

Step2:

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

= 2 / 480

= 2

Step3:

LCM(2, 304) = 304

GCD(2, 304) = ( 2 x 304 ) / 304

= 2 / 304

= 2

So, Greatest Common Divisor of 370, 114, 480, 304 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 981, 504, 938, 864
• GCD of 967, 671, 633, 165
• GCD of 997, 441, 722, 407
• GCD of 585, 757, 760, 290
• GCD of 365, 388, 760, 350

Given numbers are 370, 114, 480, 304
The greatest common divisor of numbers 370, 114, 480, 304 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 114, 480, 304 is 2.

1. What is the GCD of 370, 114, 480, 304?

GCD of given numbers 370, 114, 480, 304 is 2

2. How to calculate the greatest common divisor of 370, 114, 480, 304?

We can find the highest common divisor of 370, 114, 480, 304 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 370, 114, 480, 304 i.e 2.

3. How can I use the GCD of 370, 114, 480, 304Calculator?

Out the numbers 370, 114, 480, 304 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.