GCD of 442, 448, 220, 736 Calculator

Given Input numbers are 442, 448, 220, 736

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 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

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

GCD of numbers is the greatest common divisor

So, the GCD (442, 448, 220, 736) = 2.

Given numbers are 442, 448, 220, 736

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 220 are 2 x 2 x 5 x 11

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

The highest common occurrence is 2¹

Therefore, GCD of 442, 448, 220, 736 is 2.

Given numbers are 442, 448, 220, 736

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

Apply this formula for all numbers.

Step1:

LCM(442, 448) = 99008

GCD(442, 448) = ( 442 x 448 ) / 99008

= 442 / 448

= 442

Step2:

LCM(2, 220) = 220

GCD(2, 220) = ( 2 x 220 ) / 220

= 2 / 220

= 2

Step3:

LCM(2, 736) = 736

GCD(2, 736) = ( 2 x 736 ) / 736

= 2 / 736

= 2

So, Greatest Common Divisor of 442, 448, 220, 736 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 810, 640, 906, 678
• GCD of 291, 624, 410, 700
• GCD of 187, 641, 316, 384
• GCD of 222, 829, 652, 388
• GCD of 510, 908, 791, 242

Given numbers are 442, 448, 220, 736
The greatest common divisor of numbers 442, 448, 220, 736 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 448, 220, 736 is 2.

1. What is the GCD of 442, 448, 220, 736?

GCD of given numbers 442, 448, 220, 736 is 2

2. How to calculate the greatest common divisor of 442, 448, 220, 736?

We can find the highest common divisor of 442, 448, 220, 736 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, 448, 220, 736 i.e 2.

3. How can I use the GCD of 442, 448, 220, 736Calculator?

Out the numbers 442, 448, 220, 736 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.