GCD of 106, 780, 888, 842 Calculator

Given Input numbers are 106, 780, 888, 842

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 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 888 :

The positive integer divisors of 888 that completely divides 888 are.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

GCD of numbers is the greatest common divisor

So, the GCD (106, 780, 888, 842) = 2.

Given numbers are 106, 780, 888, 842

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

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

Prime factors of 888 are 2 x 2 x 2 x 3 x 37

Prime factors of 842 are 2 x 421

The highest common occurrence is 2¹

Therefore, GCD of 106, 780, 888, 842 is 2.

Given numbers are 106, 780, 888, 842

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

Apply this formula for all numbers.

Step1:

LCM(106, 780) = 41340

GCD(106, 780) = ( 106 x 780 ) / 41340

= 106 / 780

= 106

Step2:

LCM(2, 888) = 888

GCD(2, 888) = ( 2 x 888 ) / 888

= 2 / 888

= 2

Step3:

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

= 2 / 842

= 2

So, Greatest Common Divisor of 106, 780, 888, 842 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 939, 107, 418, 204
• GCD of 200, 753, 479, 852
• GCD of 118, 341, 421, 505
• GCD of 547, 655, 791, 213
• GCD of 846, 618, 547, 640

Given numbers are 106, 780, 888, 842
The greatest common divisor of numbers 106, 780, 888, 842 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 780, 888, 842 is 2.

1. What is the GCD of 106, 780, 888, 842?

GCD of given numbers 106, 780, 888, 842 is 2

2. How to calculate the greatest common divisor of 106, 780, 888, 842?

We can find the highest common divisor of 106, 780, 888, 842 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, 780, 888, 842 i.e 2.

3. How can I use the GCD of 106, 780, 888, 842Calculator?

Out the numbers 106, 780, 888, 842 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.