GCD of 102, 752, 18, 310 Calculator

Given Input numbers are 102, 752, 18, 310

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

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 18 :

The positive integer divisors of 18 that completely divides 18 are.

1, 2, 3, 6, 9, 18

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 (102, 752, 18, 310) = 2.

Given numbers are 102, 752, 18, 310

The list of prime factors of all numbers are

Prime factors of 102 are 2 x 3 x 17

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 18 are 2 x 3 x 3

Prime factors of 310 are 2 x 5 x 31

The highest common occurrence is 2¹

Therefore, GCD of 102, 752, 18, 310 is 2.

Given numbers are 102, 752, 18, 310

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

Apply this formula for all numbers.

Step1:

LCM(102, 752) = 38352

GCD(102, 752) = ( 102 x 752 ) / 38352

= 102 / 752

= 102

Step2:

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

= 2 / 18

= 2

Step3:

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

= 2 / 310

= 2

So, Greatest Common Divisor of 102, 752, 18, 310 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 678, 870, 34, 436
• GCD of 320, 384, 15, 510
• GCD of 373, 688, 54, 570
• GCD of 817, 588, 62, 452
• GCD of 492, 122, 97, 432

Given numbers are 102, 752, 18, 310
The greatest common divisor of numbers 102, 752, 18, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 102, 752, 18, 310 is 2.

1. What is the GCD of 102, 752, 18, 310?

GCD of given numbers 102, 752, 18, 310 is 2

2. How to calculate the greatest common divisor of 102, 752, 18, 310?

We can find the highest common divisor of 102, 752, 18, 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 102, 752, 18, 310 i.e 2.

3. How can I use the GCD of 102, 752, 18, 310Calculator?

Out the numbers 102, 752, 18, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.