GCD of 310, 348, 960, 120 Calculator

Given Input numbers are 310, 348, 960, 120

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

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

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 (310, 348, 960, 120) = 2.

Given numbers are 310, 348, 960, 120

The list of prime factors of all numbers are

Prime factors of 310 are 2 x 5 x 31

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 310, 348, 960, 120 is 2.

Given numbers are 310, 348, 960, 120

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

Apply this formula for all numbers.

Step1:

LCM(310, 348) = 53940

GCD(310, 348) = ( 310 x 348 ) / 53940

= 310 / 348

= 310

Step2:

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

= 2 / 960

= 2

Step3:

LCM(2, 120) = 120

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

= 2 / 120

= 2

So, Greatest Common Divisor of 310, 348, 960, 120 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 340, 182, 123, 821
• GCD of 158, 679, 690, 717
• GCD of 509, 787, 675, 488
• GCD of 446, 954, 544, 863
• GCD of 597, 217, 619, 312

Given numbers are 310, 348, 960, 120
The greatest common divisor of numbers 310, 348, 960, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 310, 348, 960, 120 is 2.

1. What is the GCD of 310, 348, 960, 120?

GCD of given numbers 310, 348, 960, 120 is 2

2. How to calculate the greatest common divisor of 310, 348, 960, 120?

We can find the highest common divisor of 310, 348, 960, 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 310, 348, 960, 120 i.e 2.

3. How can I use the GCD of 310, 348, 960, 120Calculator?

Out the numbers 310, 348, 960, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.