GCD of 106, 400, 780, 804 Calculator

Given Input numbers are 106, 400, 780, 804

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

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

GCD of numbers is the greatest common divisor

So, the GCD (106, 400, 780, 804) = 2.

Given numbers are 106, 400, 780, 804

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 804 are 2 x 2 x 3 x 67

The highest common occurrence is 2¹

Therefore, GCD of 106, 400, 780, 804 is 2.

Given numbers are 106, 400, 780, 804

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

Apply this formula for all numbers.

Step1:

LCM(106, 400) = 21200

GCD(106, 400) = ( 106 x 400 ) / 21200

= 106 / 400

= 106

Step2:

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

= 2 / 780

= 2

Step3:

LCM(2, 804) = 804

GCD(2, 804) = ( 2 x 804 ) / 804

= 2 / 804

= 2

So, Greatest Common Divisor of 106, 400, 780, 804 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 243, 670, 170, 862
• GCD of 640, 238, 206, 863
• GCD of 116, 506, 196, 891
• GCD of 975, 281, 308, 154
• GCD of 143, 243, 212, 278

Given numbers are 106, 400, 780, 804
The greatest common divisor of numbers 106, 400, 780, 804 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 400, 780, 804 is 2.

1. What is the GCD of 106, 400, 780, 804?

GCD of given numbers 106, 400, 780, 804 is 2

2. How to calculate the greatest common divisor of 106, 400, 780, 804?

We can find the highest common divisor of 106, 400, 780, 804 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 106, 400, 780, 804 i.e 2.

3. How can I use the GCD of 106, 400, 780, 804Calculator?

Out the numbers 106, 400, 780, 804 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.