GCD of 344, 704, 370, 450 Calculator

Given Input numbers are 344, 704, 370, 450

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

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

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 (344, 704, 370, 450) = 2.

Given numbers are 344, 704, 370, 450

The list of prime factors of all numbers are

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 370 are 2 x 5 x 37

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

The highest common occurrence is 2¹

Therefore, GCD of 344, 704, 370, 450 is 2.

Given numbers are 344, 704, 370, 450

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

Apply this formula for all numbers.

Step1:

LCM(344, 704) = 30272

GCD(344, 704) = ( 344 x 704 ) / 30272

= 344 / 704

= 344

Step2:

LCM(8, 370) = 1480

GCD(8, 370) = ( 8 x 370 ) / 1480

= 8 / 370

= 8

Step3:

LCM(2, 450) = 450

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

= 2 / 450

= 2

So, Greatest Common Divisor of 344, 704, 370, 450 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 741, 525, 335, 667
• GCD of 207, 339, 579, 415
• GCD of 643, 655, 393, 250
• GCD of 312, 618, 277, 350
• GCD of 789, 873, 937, 132

Given numbers are 344, 704, 370, 450
The greatest common divisor of numbers 344, 704, 370, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 704, 370, 450 is 2.

1. What is the GCD of 344, 704, 370, 450?

GCD of given numbers 344, 704, 370, 450 is 2

2. How to calculate the greatest common divisor of 344, 704, 370, 450?

We can find the highest common divisor of 344, 704, 370, 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 344, 704, 370, 450 i.e 2.

3. How can I use the GCD of 344, 704, 370, 450Calculator?

Out the numbers 344, 704, 370, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.