GCD of 310, 968, 178, 120 Calculator

Given Input numbers are 310, 968, 178, 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 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

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, 968, 178, 120) = 2.

Given numbers are 310, 968, 178, 120

The list of prime factors of all numbers are

Prime factors of 310 are 2 x 5 x 31

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 178 are 2 x 89

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

The highest common occurrence is 2¹

Therefore, GCD of 310, 968, 178, 120 is 2.

Given numbers are 310, 968, 178, 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, 968) = 150040

GCD(310, 968) = ( 310 x 968 ) / 150040

= 310 / 968

= 310

Step2:

LCM(2, 178) = 178

GCD(2, 178) = ( 2 x 178 ) / 178

= 2 / 178

= 2

Step3:

LCM(2, 120) = 120

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

= 2 / 120

= 2

So, Greatest Common Divisor of 310, 968, 178, 120 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 300, 952, 683, 565
• GCD of 236, 462, 942, 540
• GCD of 713, 390, 450, 208
• GCD of 663, 806, 165, 234
• GCD of 697, 737, 738, 804

Given numbers are 310, 968, 178, 120
The greatest common divisor of numbers 310, 968, 178, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 310, 968, 178, 120 is 2.

1. What is the GCD of 310, 968, 178, 120?

GCD of given numbers 310, 968, 178, 120 is 2

2. How to calculate the greatest common divisor of 310, 968, 178, 120?

We can find the highest common divisor of 310, 968, 178, 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, 968, 178, 120 i.e 2.

3. How can I use the GCD of 310, 968, 178, 120Calculator?

Out the numbers 310, 968, 178, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.