GCD of 311, 720, 920, 492 Calculator

Given Input numbers are 311, 720, 920, 492

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

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

GCD of numbers is the greatest common divisor

So, the GCD (311, 720, 920, 492) = 1.

Given numbers are 311, 720, 920, 492

The list of prime factors of all numbers are

Prime factors of 311 are 311

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 492 are 2 x 2 x 3 x 41

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

Given numbers are 311, 720, 920, 492

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

Apply this formula for all numbers.

Step1:

LCM(311, 720) = 223920

GCD(311, 720) = ( 311 x 720 ) / 223920

= 311 / 720

= 311

Step2:

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

= 1 / 920

= 1

Step3:

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

= 1 / 492

= 1

So, Greatest Common Divisor of 311, 720, 920, 492 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 753, 704, 665, 218
• GCD of 497, 501, 192, 768
• GCD of 416, 974, 633, 923
• GCD of 824, 485, 228, 666
• GCD of 500, 114, 751, 815

Given numbers are 311, 720, 920, 492
The greatest common divisor of numbers 311, 720, 920, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 311, 720, 920, 492 is 1.

1. What is the GCD of 311, 720, 920, 492?

GCD of given numbers 311, 720, 920, 492 is 1

2. How to calculate the greatest common divisor of 311, 720, 920, 492?

We can find the highest common divisor of 311, 720, 920, 492 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 311, 720, 920, 492 i.e 1.

3. How can I use the GCD of 311, 720, 920, 492Calculator?

Out the numbers 311, 720, 920, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.