GCD of 130, 431, 747, 312 Calculator

Given Input numbers are 130, 431, 747, 312

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

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

Divisors of 747 :

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

1, 3, 9, 83, 249, 747

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (130, 431, 747, 312) = 1.

Given numbers are 130, 431, 747, 312

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 431 are 431

Prime factors of 747 are 3 x 3 x 83

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

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

Given numbers are 130, 431, 747, 312

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

Apply this formula for all numbers.

Step1:

LCM(130, 431) = 56030

GCD(130, 431) = ( 130 x 431 ) / 56030

= 130 / 431

= 130

Step2:

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

= 1 / 747

= 1

Step3:

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

= 1 / 312

= 1

So, Greatest Common Divisor of 130, 431, 747, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 403, 911, 294, 188
• GCD of 581, 553, 717, 336
• GCD of 990, 661, 645, 357
• GCD of 271, 849, 700, 400
• GCD of 636, 594, 318, 568

Given numbers are 130, 431, 747, 312
The greatest common divisor of numbers 130, 431, 747, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 431, 747, 312 is 1.

1. What is the GCD of 130, 431, 747, 312?

GCD of given numbers 130, 431, 747, 312 is 1

2. How to calculate the greatest common divisor of 130, 431, 747, 312?

We can find the highest common divisor of 130, 431, 747, 312 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 130, 431, 747, 312 i.e 1.

3. How can I use the GCD of 130, 431, 747, 312Calculator?

Out the numbers 130, 431, 747, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.