GCD of 308, 100, 936, 104 Calculator

Given Input numbers are 308, 100, 936, 104

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

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

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 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

GCD of numbers is the greatest common divisor

So, the GCD (308, 100, 936, 104) = 4.

Given numbers are 308, 100, 936, 104

The list of prime factors of all numbers are

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 100 are 2 x 2 x 5 x 5

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

Prime factors of 104 are 2 x 2 x 2 x 13

The highest common occurrence is 2²

Therefore, GCD of 308, 100, 936, 104 is 4.

Given numbers are 308, 100, 936, 104

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

Apply this formula for all numbers.

Step1:

LCM(308, 100) = 7700

GCD(308, 100) = ( 308 x 100 ) / 7700

= 308 / 100

= 308

Step2:

LCM(4, 936) = 936

GCD(4, 936) = ( 4 x 936 ) / 936

= 4 / 936

= 4

Step3:

LCM(4, 104) = 104

GCD(4, 104) = ( 4 x 104 ) / 104

= 4 / 104

= 4

So, Greatest Common Divisor of 308, 100, 936, 104 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 511, 454, 764, 105
• GCD of 272, 747, 334, 633
• GCD of 488, 613, 281, 599
• GCD of 341, 138, 397, 698
• GCD of 177, 710, 890, 596

Given numbers are 308, 100, 936, 104
The greatest common divisor of numbers 308, 100, 936, 104 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 100, 936, 104 is 4.

1. What is the GCD of 308, 100, 936, 104?

GCD of given numbers 308, 100, 936, 104 is 4

2. How to calculate the greatest common divisor of 308, 100, 936, 104?

We can find the highest common divisor of 308, 100, 936, 104 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 308, 100, 936, 104 i.e 4.

3. How can I use the GCD of 308, 100, 936, 104Calculator?

Out the numbers 308, 100, 936, 104 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.