GCD of 550, 736, 384, 112 Calculator

Given Input numbers are 550, 736, 384, 112

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

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

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

GCD of numbers is the greatest common divisor

So, the GCD (550, 736, 384, 112) = 2.

Given numbers are 550, 736, 384, 112

The list of prime factors of all numbers are

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

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 550, 736, 384, 112 is 2.

Given numbers are 550, 736, 384, 112

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

Apply this formula for all numbers.

Step1:

LCM(550, 736) = 202400

GCD(550, 736) = ( 550 x 736 ) / 202400

= 550 / 736

= 550

Step2:

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

= 2 / 384

= 2

Step3:

LCM(2, 112) = 112

GCD(2, 112) = ( 2 x 112 ) / 112

= 2 / 112

= 2

So, Greatest Common Divisor of 550, 736, 384, 112 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 795, 859, 423, 341
• GCD of 308, 717, 997, 482
• GCD of 210, 883, 893, 191
• GCD of 360, 145, 720, 841
• GCD of 681, 329, 719, 264

Given numbers are 550, 736, 384, 112
The greatest common divisor of numbers 550, 736, 384, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 736, 384, 112 is 2.

1. What is the GCD of 550, 736, 384, 112?

GCD of given numbers 550, 736, 384, 112 is 2

2. How to calculate the greatest common divisor of 550, 736, 384, 112?

We can find the highest common divisor of 550, 736, 384, 112 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 550, 736, 384, 112 i.e 2.

3. How can I use the GCD of 550, 736, 384, 112Calculator?

Out the numbers 550, 736, 384, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.