GCD of 120, 315, 246, 312 Calculator

Given Input numbers are 120, 315, 246, 312

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

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

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 246 :

The positive integer divisors of 246 that completely divides 246 are.

1, 2, 3, 6, 41, 82, 123, 246

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (120, 315, 246, 312) = 3.

Given numbers are 120, 315, 246, 312

The list of prime factors of all numbers are

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

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 246 are 2 x 3 x 41

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 120, 315, 246, 312 is 3.

Given numbers are 120, 315, 246, 312

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

Apply this formula for all numbers.

Step1:

LCM(120, 315) = 2520

GCD(120, 315) = ( 120 x 315 ) / 2520

= 120 / 315

= 120

Step2:

LCM(15, 246) = 1230

GCD(15, 246) = ( 15 x 246 ) / 1230

= 15 / 246

= 15

Step3:

LCM(3, 312) = 312

GCD(3, 312) = ( 3 x 312 ) / 312

= 3 / 312

= 3

So, Greatest Common Divisor of 120, 315, 246, 312 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 243, 996, 974, 823
• GCD of 534, 522, 266, 946
• GCD of 950, 854, 628, 718
• GCD of 390, 821, 464, 813
• GCD of 720, 806, 148, 658

Given numbers are 120, 315, 246, 312
The greatest common divisor of numbers 120, 315, 246, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 315, 246, 312 is 3.

1. What is the GCD of 120, 315, 246, 312?

GCD of given numbers 120, 315, 246, 312 is 3

2. How to calculate the greatest common divisor of 120, 315, 246, 312?

We can find the highest common divisor of 120, 315, 246, 312 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 120, 315, 246, 312 i.e 3.

3. How can I use the GCD of 120, 315, 246, 312Calculator?

Out the numbers 120, 315, 246, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.