GCD of 460, 388, 318, 360 Calculator

Given Input numbers are 460, 388, 318, 360

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (460, 388, 318, 360) = 2.

Given numbers are 460, 388, 318, 360

The list of prime factors of all numbers are

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 388 are 2 x 2 x 97

Prime factors of 318 are 2 x 3 x 53

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 460, 388, 318, 360 is 2.

Given numbers are 460, 388, 318, 360

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

Apply this formula for all numbers.

Step1:

LCM(460, 388) = 44620

GCD(460, 388) = ( 460 x 388 ) / 44620

= 460 / 388

= 460

Step2:

LCM(4, 318) = 636

GCD(4, 318) = ( 4 x 318 ) / 636

= 4 / 318

= 4

Step3:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

So, Greatest Common Divisor of 460, 388, 318, 360 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 616, 301, 460, 195
• GCD of 409, 794, 250, 131
• GCD of 298, 889, 275, 222
• GCD of 569, 185, 145, 903
• GCD of 681, 337, 601, 954

Given numbers are 460, 388, 318, 360
The greatest common divisor of numbers 460, 388, 318, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 388, 318, 360 is 2.

1. What is the GCD of 460, 388, 318, 360?

GCD of given numbers 460, 388, 318, 360 is 2

2. How to calculate the greatest common divisor of 460, 388, 318, 360?

We can find the highest common divisor of 460, 388, 318, 360 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 460, 388, 318, 360 i.e 2.

3. How can I use the GCD of 460, 388, 318, 360Calculator?

Out the numbers 460, 388, 318, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.