GCD of 352, 704, 230, 824 Calculator

Given Input numbers are 352, 704, 230, 824

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

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

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

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 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

GCD of numbers is the greatest common divisor

So, the GCD (352, 704, 230, 824) = 2.

Given numbers are 352, 704, 230, 824

The list of prime factors of all numbers are

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

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

Prime factors of 230 are 2 x 5 x 23

Prime factors of 824 are 2 x 2 x 2 x 103

The highest common occurrence is 2¹

Therefore, GCD of 352, 704, 230, 824 is 2.

Given numbers are 352, 704, 230, 824

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

Apply this formula for all numbers.

Step1:

LCM(352, 704) = 704

GCD(352, 704) = ( 352 x 704 ) / 704

= 352 / 704

= 352

Step2:

LCM(352, 230) = 40480

GCD(352, 230) = ( 352 x 230 ) / 40480

= 352 / 230

= 352

Step3:

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

= 2 / 824

= 2

So, Greatest Common Divisor of 352, 704, 230, 824 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 836, 678, 967, 207
• GCD of 769, 751, 993, 341
• GCD of 636, 261, 581, 884
• GCD of 807, 600, 134, 898
• GCD of 185, 582, 632, 872

Given numbers are 352, 704, 230, 824
The greatest common divisor of numbers 352, 704, 230, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 704, 230, 824 is 2.

1. What is the GCD of 352, 704, 230, 824?

GCD of given numbers 352, 704, 230, 824 is 2

2. How to calculate the greatest common divisor of 352, 704, 230, 824?

We can find the highest common divisor of 352, 704, 230, 824 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 352, 704, 230, 824 i.e 2.

3. How can I use the GCD of 352, 704, 230, 824Calculator?

Out the numbers 352, 704, 230, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.