GCD of 936, 102, 348, 825 Calculator

Given Input numbers are 936, 102, 348, 825

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

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 102 :

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

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

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (936, 102, 348, 825) = 3.

Given numbers are 936, 102, 348, 825

The list of prime factors of all numbers are

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 102 are 2 x 3 x 17

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 825 are 3 x 5 x 5 x 11

The highest common occurrence is 3¹

Therefore, GCD of 936, 102, 348, 825 is 3.

Given numbers are 936, 102, 348, 825

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

Apply this formula for all numbers.

Step1:

LCM(936, 102) = 15912

GCD(936, 102) = ( 936 x 102 ) / 15912

= 936 / 102

= 936

Step2:

LCM(6, 348) = 348

GCD(6, 348) = ( 6 x 348 ) / 348

= 6 / 348

= 6

Step3:

LCM(6, 825) = 1650

GCD(6, 825) = ( 6 x 825 ) / 1650

= 6 / 825

= 6

So, Greatest Common Divisor of 936, 102, 348, 825 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 389, 497, 230, 502
• GCD of 179, 415, 747, 867
• GCD of 831, 929, 153, 810
• GCD of 452, 591, 172, 507
• GCD of 280, 259, 179, 700

Given numbers are 936, 102, 348, 825
The greatest common divisor of numbers 936, 102, 348, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 936, 102, 348, 825 is 3.

1. What is the GCD of 936, 102, 348, 825?

GCD of given numbers 936, 102, 348, 825 is 3

2. How to calculate the greatest common divisor of 936, 102, 348, 825?

We can find the highest common divisor of 936, 102, 348, 825 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 936, 102, 348, 825 i.e 3.

3. How can I use the GCD of 936, 102, 348, 825Calculator?

Out the numbers 936, 102, 348, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.