GCD of 352, 828, 225, 872 Calculator

Given Input numbers are 352, 828, 225, 872

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 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

GCD of numbers is the greatest common divisor

So, the GCD (352, 828, 225, 872) = 1.

Given numbers are 352, 828, 225, 872

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 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 872 are 2 x 2 x 2 x 109

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 352, 828, 225, 872

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

Apply this formula for all numbers.

Step1:

LCM(352, 828) = 72864

GCD(352, 828) = ( 352 x 828 ) / 72864

= 352 / 828

= 352

Step2:

LCM(4, 225) = 900

GCD(4, 225) = ( 4 x 225 ) / 900

= 4 / 225

= 4

Step3:

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

= 1 / 872

= 1

So, Greatest Common Divisor of 352, 828, 225, 872 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 119, 160, 302, 533
• GCD of 249, 141, 274, 389
• GCD of 610, 335, 537, 689
• GCD of 177, 742, 742, 544
• GCD of 341, 145, 356, 469

Given numbers are 352, 828, 225, 872
The greatest common divisor of numbers 352, 828, 225, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 828, 225, 872 is 1.

1. What is the GCD of 352, 828, 225, 872?

GCD of given numbers 352, 828, 225, 872 is 1

2. How to calculate the greatest common divisor of 352, 828, 225, 872?

We can find the highest common divisor of 352, 828, 225, 872 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, 828, 225, 872 i.e 1.

3. How can I use the GCD of 352, 828, 225, 872Calculator?

Out the numbers 352, 828, 225, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.