GCD of 988, 744, 804, 310 Calculator

Given Input numbers are 988, 744, 804, 310

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

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

GCD of numbers is the greatest common divisor

So, the GCD (988, 744, 804, 310) = 2.

Given numbers are 988, 744, 804, 310

The list of prime factors of all numbers are

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 310 are 2 x 5 x 31

The highest common occurrence is 2¹

Therefore, GCD of 988, 744, 804, 310 is 2.

Given numbers are 988, 744, 804, 310

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

Apply this formula for all numbers.

Step1:

LCM(988, 744) = 183768

GCD(988, 744) = ( 988 x 744 ) / 183768

= 988 / 744

= 988

Step2:

LCM(4, 804) = 804

GCD(4, 804) = ( 4 x 804 ) / 804

= 4 / 804

= 4

Step3:

LCM(4, 310) = 620

GCD(4, 310) = ( 4 x 310 ) / 620

= 4 / 310

= 4

So, Greatest Common Divisor of 988, 744, 804, 310 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 665, 439, 966, 361
• GCD of 860, 909, 531, 826
• GCD of 970, 103, 605, 548
• GCD of 230, 590, 568, 763
• GCD of 126, 706, 502, 454

Given numbers are 988, 744, 804, 310
The greatest common divisor of numbers 988, 744, 804, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 744, 804, 310 is 2.

1. What is the GCD of 988, 744, 804, 310?

GCD of given numbers 988, 744, 804, 310 is 2

2. How to calculate the greatest common divisor of 988, 744, 804, 310?

We can find the highest common divisor of 988, 744, 804, 310 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 988, 744, 804, 310 i.e 2.

3. How can I use the GCD of 988, 744, 804, 310Calculator?

Out the numbers 988, 744, 804, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.