GCD of 906, 428, 600, 608 Calculator

Given Input numbers are 906, 428, 600, 608

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

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 428 :

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

1, 2, 4, 107, 214, 428

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

GCD of numbers is the greatest common divisor

So, the GCD (906, 428, 600, 608) = 2.

Given numbers are 906, 428, 600, 608

The list of prime factors of all numbers are

Prime factors of 906 are 2 x 3 x 151

Prime factors of 428 are 2 x 2 x 107

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

The highest common occurrence is 2¹

Therefore, GCD of 906, 428, 600, 608 is 2.

Given numbers are 906, 428, 600, 608

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

Apply this formula for all numbers.

Step1:

LCM(906, 428) = 193884

GCD(906, 428) = ( 906 x 428 ) / 193884

= 906 / 428

= 906

Step2:

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

= 2 / 600

= 2

Step3:

LCM(2, 608) = 608

GCD(2, 608) = ( 2 x 608 ) / 608

= 2 / 608

= 2

So, Greatest Common Divisor of 906, 428, 600, 608 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 698, 793, 907, 411
• GCD of 397, 422, 995, 409
• GCD of 300, 464, 673, 468
• GCD of 807, 426, 867, 429
• GCD of 378, 376, 678, 226

Given numbers are 906, 428, 600, 608
The greatest common divisor of numbers 906, 428, 600, 608 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 906, 428, 600, 608 is 2.

1. What is the GCD of 906, 428, 600, 608?

GCD of given numbers 906, 428, 600, 608 is 2

2. How to calculate the greatest common divisor of 906, 428, 600, 608?

We can find the highest common divisor of 906, 428, 600, 608 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 906, 428, 600, 608 i.e 2.

3. How can I use the GCD of 906, 428, 600, 608Calculator?

Out the numbers 906, 428, 600, 608 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.