GCD of 807, 105, 39, 936 Calculator

Given Input numbers are 807, 105, 39, 936

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

Divisors of 807 :

The positive integer divisors of 807 that completely divides 807 are.

1, 3, 269, 807

Divisors of 105 :

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

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

Divisors of 39 :

The positive integer divisors of 39 that completely divides 39 are.

1, 3, 13, 39

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

GCD of numbers is the greatest common divisor

So, the GCD (807, 105, 39, 936) = 3.

Given numbers are 807, 105, 39, 936

The list of prime factors of all numbers are

Prime factors of 807 are 3 x 269

Prime factors of 105 are 3 x 5 x 7

Prime factors of 39 are 3 x 13

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

The highest common occurrence is 3¹

Therefore, GCD of 807, 105, 39, 936 is 3.

Given numbers are 807, 105, 39, 936

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

Apply this formula for all numbers.

Step1:

LCM(807, 105) = 28245

GCD(807, 105) = ( 807 x 105 ) / 28245

= 807 / 105

= 807

Step2:

LCM(3, 39) = 39

GCD(3, 39) = ( 3 x 39 ) / 39

= 3 / 39

= 3

Step3:

LCM(3, 936) = 936

GCD(3, 936) = ( 3 x 936 ) / 936

= 3 / 936

= 3

So, Greatest Common Divisor of 807, 105, 39, 936 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 693, 146, 94, 432
• GCD of 375, 895, 61, 694
• GCD of 269, 940, 43, 570
• GCD of 208, 482, 82, 470
• GCD of 504, 944, 42, 243

Given numbers are 807, 105, 39, 936
The greatest common divisor of numbers 807, 105, 39, 936 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 807, 105, 39, 936 is 3.

1. What is the GCD of 807, 105, 39, 936?

GCD of given numbers 807, 105, 39, 936 is 3

2. How to calculate the greatest common divisor of 807, 105, 39, 936?

We can find the highest common divisor of 807, 105, 39, 936 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 807, 105, 39, 936 i.e 3.

3. How can I use the GCD of 807, 105, 39, 936Calculator?

Out the numbers 807, 105, 39, 936 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.