GCD of 442, 716, 596, 550 Calculator

Given Input numbers are 442, 716, 596, 550

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

Divisors of 442 :

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

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

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

GCD of numbers is the greatest common divisor

So, the GCD (442, 716, 596, 550) = 2.

Given numbers are 442, 716, 596, 550

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 716 are 2 x 2 x 179

Prime factors of 596 are 2 x 2 x 149

Prime factors of 550 are 2 x 5 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 442, 716, 596, 550 is 2.

Given numbers are 442, 716, 596, 550

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

Apply this formula for all numbers.

Step1:

LCM(442, 716) = 158236

GCD(442, 716) = ( 442 x 716 ) / 158236

= 442 / 716

= 442

Step2:

LCM(2, 596) = 596

GCD(2, 596) = ( 2 x 596 ) / 596

= 2 / 596

= 2

Step3:

LCM(2, 550) = 550

GCD(2, 550) = ( 2 x 550 ) / 550

= 2 / 550

= 2

So, Greatest Common Divisor of 442, 716, 596, 550 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 758, 359, 752, 902
• GCD of 274, 183, 249, 812
• GCD of 459, 604, 129, 394
• GCD of 445, 138, 750, 668
• GCD of 299, 135, 579, 107

Given numbers are 442, 716, 596, 550
The greatest common divisor of numbers 442, 716, 596, 550 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 716, 596, 550 is 2.

1. What is the GCD of 442, 716, 596, 550?

GCD of given numbers 442, 716, 596, 550 is 2

2. How to calculate the greatest common divisor of 442, 716, 596, 550?

We can find the highest common divisor of 442, 716, 596, 550 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 442, 716, 596, 550 i.e 2.

3. How can I use the GCD of 442, 716, 596, 550Calculator?

Out the numbers 442, 716, 596, 550 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.