GCD of 310, 912, 491, 120 Calculator

Given Input numbers are 310, 912, 491, 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 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491

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, 912, 491, 120) = 1.

Given numbers are 310, 912, 491, 120

The list of prime factors of all numbers are

Prime factors of 310 are 2 x 5 x 31

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 491 are 491

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 310, 912, 491, 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, 912) = 141360

GCD(310, 912) = ( 310 x 912 ) / 141360

= 310 / 912

= 310

Step2:

LCM(2, 491) = 982

GCD(2, 491) = ( 2 x 491 ) / 982

= 2 / 491

= 2

Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

So, Greatest Common Divisor of 310, 912, 491, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 340, 731, 519, 983
• GCD of 246, 232, 919, 847
• GCD of 731, 101, 521, 247
• GCD of 227, 136, 522, 799
• GCD of 379, 480, 339, 749

Given numbers are 310, 912, 491, 120
The greatest common divisor of numbers 310, 912, 491, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 310, 912, 491, 120 is 1.

1. What is the GCD of 310, 912, 491, 120?

GCD of given numbers 310, 912, 491, 120 is 1

2. How to calculate the greatest common divisor of 310, 912, 491, 120?

We can find the highest common divisor of 310, 912, 491, 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, 912, 491, 120 i.e 1.

3. How can I use the GCD of 310, 912, 491, 120Calculator?

Out the numbers 310, 912, 491, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.