GCD of 480, 426, 747, 311 Calculator

Given Input numbers are 480, 426, 747, 311

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

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

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 311 :

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

1, 311

GCD of numbers is the greatest common divisor

So, the GCD (480, 426, 747, 311) = 1.

Given numbers are 480, 426, 747, 311

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 426 are 2 x 3 x 71

Prime factors of 747 are 3 x 3 x 83

Prime factors of 311 are 311

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

Given numbers are 480, 426, 747, 311

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

Apply this formula for all numbers.

Step1:

LCM(480, 426) = 34080

GCD(480, 426) = ( 480 x 426 ) / 34080

= 480 / 426

= 480

Step2:

LCM(6, 747) = 1494

GCD(6, 747) = ( 6 x 747 ) / 1494

= 6 / 747

= 6

Step3:

LCM(3, 311) = 933

GCD(3, 311) = ( 3 x 311 ) / 933

= 3 / 311

= 3

So, Greatest Common Divisor of 480, 426, 747, 311 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 585, 629, 873, 195
• GCD of 352, 251, 591, 233
• GCD of 317, 176, 437, 956
• GCD of 343, 158, 129, 941
• GCD of 276, 241, 718, 234

Given numbers are 480, 426, 747, 311
The greatest common divisor of numbers 480, 426, 747, 311 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 426, 747, 311 is 1.

1. What is the GCD of 480, 426, 747, 311?

GCD of given numbers 480, 426, 747, 311 is 1

2. How to calculate the greatest common divisor of 480, 426, 747, 311?

We can find the highest common divisor of 480, 426, 747, 311 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 480, 426, 747, 311 i.e 1.

3. How can I use the GCD of 480, 426, 747, 311Calculator?

Out the numbers 480, 426, 747, 311 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.