GCD of 442, 748, 386, 450 Calculator

Given Input numbers are 442, 748, 386, 450

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 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 386 :

The positive integer divisors of 386 that completely divides 386 are.

1, 2, 193, 386

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

GCD of numbers is the greatest common divisor

So, the GCD (442, 748, 386, 450) = 2.

Given numbers are 442, 748, 386, 450

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 386 are 2 x 193

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 442, 748, 386, 450 is 2.

Given numbers are 442, 748, 386, 450

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

Apply this formula for all numbers.

Step1:

LCM(442, 748) = 9724

GCD(442, 748) = ( 442 x 748 ) / 9724

= 442 / 748

= 442

Step2:

LCM(34, 386) = 6562

GCD(34, 386) = ( 34 x 386 ) / 6562

= 34 / 386

= 34

Step3:

LCM(2, 450) = 450

GCD(2, 450) = ( 2 x 450 ) / 450

= 2 / 450

= 2

So, Greatest Common Divisor of 442, 748, 386, 450 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 908, 151, 359, 809
• GCD of 182, 304, 519, 661
• GCD of 917, 203, 127, 380
• GCD of 456, 941, 322, 923
• GCD of 944, 136, 223, 413

Given numbers are 442, 748, 386, 450
The greatest common divisor of numbers 442, 748, 386, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 748, 386, 450 is 2.

1. What is the GCD of 442, 748, 386, 450?

GCD of given numbers 442, 748, 386, 450 is 2

2. How to calculate the greatest common divisor of 442, 748, 386, 450?

We can find the highest common divisor of 442, 748, 386, 450 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, 748, 386, 450 i.e 2.

3. How can I use the GCD of 442, 748, 386, 450Calculator?

Out the numbers 442, 748, 386, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.