GCD of 105, 936, 768, 684 Calculator

Given Input numbers are 105, 936, 768, 684

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

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 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (105, 936, 768, 684) = 3.

Given numbers are 105, 936, 768, 684

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

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

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 105, 936, 768, 684 is 3.

Given numbers are 105, 936, 768, 684

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

Apply this formula for all numbers.

Step1:

LCM(105, 936) = 32760

GCD(105, 936) = ( 105 x 936 ) / 32760

= 105 / 936

= 105

Step2:

LCM(3, 768) = 768

GCD(3, 768) = ( 3 x 768 ) / 768

= 3 / 768

= 3

Step3:

LCM(3, 684) = 684

GCD(3, 684) = ( 3 x 684 ) / 684

= 3 / 684

= 3

So, Greatest Common Divisor of 105, 936, 768, 684 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 599, 505, 674, 935
• GCD of 985, 994, 594, 133
• GCD of 721, 126, 481, 650
• GCD of 921, 341, 270, 819
• GCD of 471, 710, 140, 943

Given numbers are 105, 936, 768, 684
The greatest common divisor of numbers 105, 936, 768, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 936, 768, 684 is 3.

1. What is the GCD of 105, 936, 768, 684?

GCD of given numbers 105, 936, 768, 684 is 3

2. How to calculate the greatest common divisor of 105, 936, 768, 684?

We can find the highest common divisor of 105, 936, 768, 684 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 105, 936, 768, 684 i.e 3.

3. How can I use the GCD of 105, 936, 768, 684Calculator?

Out the numbers 105, 936, 768, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.