GCD of 460, 162, 306, 120 Calculator

Given Input numbers are 460, 162, 306, 120

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 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD of numbers is the greatest common divisor

So, the GCD (460, 162, 306, 120) = 2.

Given numbers are 460, 162, 306, 120

The list of prime factors of all numbers are

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

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 460, 162, 306, 120 is 2.

Given numbers are 460, 162, 306, 120

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

Apply this formula for all numbers.

Step1:

LCM(460, 162) = 37260

GCD(460, 162) = ( 460 x 162 ) / 37260

= 460 / 162

= 460

Step2:

LCM(2, 306) = 306

GCD(2, 306) = ( 2 x 306 ) / 306

= 2 / 306

= 2

Step3:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

So, Greatest Common Divisor of 460, 162, 306, 120 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 342, 440, 307, 138
• GCD of 275, 868, 466, 571
• GCD of 874, 885, 175, 594
• GCD of 251, 245, 398, 735
• GCD of 370, 433, 241, 728

Given numbers are 460, 162, 306, 120
The greatest common divisor of numbers 460, 162, 306, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 162, 306, 120 is 2.

1. What is the GCD of 460, 162, 306, 120?

GCD of given numbers 460, 162, 306, 120 is 2

2. How to calculate the greatest common divisor of 460, 162, 306, 120?

We can find the highest common divisor of 460, 162, 306, 120 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, 162, 306, 120 i.e 2.

3. How can I use the GCD of 460, 162, 306, 120Calculator?

Out the numbers 460, 162, 306, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.