GCD of 312, 993, 584, 371 Calculator

Given Input numbers are 312, 993, 584, 371

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

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

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

GCD of numbers is the greatest common divisor

So, the GCD (312, 993, 584, 371) = 1.

Given numbers are 312, 993, 584, 371

The list of prime factors of all numbers are

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

Prime factors of 993 are 3 x 331

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 371 are 7 x 53

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

Given numbers are 312, 993, 584, 371

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

Apply this formula for all numbers.

Step1:

LCM(312, 993) = 103272

GCD(312, 993) = ( 312 x 993 ) / 103272

= 312 / 993

= 312

Step2:

LCM(3, 584) = 1752

GCD(3, 584) = ( 3 x 584 ) / 1752

= 3 / 584

= 3

Step3:

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

= 1 / 371

= 1

So, Greatest Common Divisor of 312, 993, 584, 371 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 580, 645, 249, 443
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Given numbers are 312, 993, 584, 371
The greatest common divisor of numbers 312, 993, 584, 371 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 993, 584, 371 is 1.

1. What is the GCD of 312, 993, 584, 371?

GCD of given numbers 312, 993, 584, 371 is 1

2. How to calculate the greatest common divisor of 312, 993, 584, 371?

We can find the highest common divisor of 312, 993, 584, 371 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 312, 993, 584, 371 i.e 1.

3. How can I use the GCD of 312, 993, 584, 371Calculator?

Out the numbers 312, 993, 584, 371 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.