GCD of 106, 546, 556, 428 Calculator

Given Input numbers are 106, 546, 556, 428

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 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (106, 546, 556, 428) = 2.

Given numbers are 106, 546, 556, 428

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

Prime factors of 546 are 2 x 3 x 7 x 13

Prime factors of 556 are 2 x 2 x 139

Prime factors of 428 are 2 x 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 106, 546, 556, 428 is 2.

Given numbers are 106, 546, 556, 428

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

Apply this formula for all numbers.

Step1:

LCM(106, 546) = 28938

GCD(106, 546) = ( 106 x 546 ) / 28938

= 106 / 546

= 106

Step2:

LCM(2, 556) = 556

GCD(2, 556) = ( 2 x 556 ) / 556

= 2 / 556

= 2

Step3:

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

= 2 / 428

= 2

So, Greatest Common Divisor of 106, 546, 556, 428 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 496, 671, 388, 814
• GCD of 946, 230, 497, 401
• GCD of 593, 473, 298, 391
• GCD of 730, 338, 285, 930
• GCD of 905, 271, 145, 801

Given numbers are 106, 546, 556, 428
The greatest common divisor of numbers 106, 546, 556, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 546, 556, 428 is 2.

1. What is the GCD of 106, 546, 556, 428?

GCD of given numbers 106, 546, 556, 428 is 2

2. How to calculate the greatest common divisor of 106, 546, 556, 428?

We can find the highest common divisor of 106, 546, 556, 428 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, 546, 556, 428 i.e 2.

3. How can I use the GCD of 106, 546, 556, 428Calculator?

Out the numbers 106, 546, 556, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.