GCD of 916, 584, 442, 428 Calculator

Given Input numbers are 916, 584, 442, 428

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

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

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 (916, 584, 442, 428) = 2.

Given numbers are 916, 584, 442, 428

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 442 are 2 x 13 x 17

Prime factors of 428 are 2 x 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 916, 584, 442, 428 is 2.

Given numbers are 916, 584, 442, 428

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

Apply this formula for all numbers.

Step1:

LCM(916, 584) = 133736

GCD(916, 584) = ( 916 x 584 ) / 133736

= 916 / 584

= 916

Step2:

LCM(4, 442) = 884

GCD(4, 442) = ( 4 x 442 ) / 884

= 4 / 442

= 4

Step3:

LCM(2, 428) = 428

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

= 2 / 428

= 2

So, Greatest Common Divisor of 916, 584, 442, 428 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 201, 978, 799, 338
• GCD of 272, 324, 816, 434
• GCD of 980, 101, 689, 517
• GCD of 953, 447, 427, 155
• GCD of 914, 266, 493, 329

Given numbers are 916, 584, 442, 428
The greatest common divisor of numbers 916, 584, 442, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 584, 442, 428 is 2.

1. What is the GCD of 916, 584, 442, 428?

GCD of given numbers 916, 584, 442, 428 is 2

2. How to calculate the greatest common divisor of 916, 584, 442, 428?

We can find the highest common divisor of 916, 584, 442, 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 916, 584, 442, 428 i.e 2.

3. How can I use the GCD of 916, 584, 442, 428Calculator?

Out the numbers 916, 584, 442, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.