GCD of 412, 352, 462, 528 Calculator

Given Input numbers are 412, 352, 462, 528

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

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

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 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

GCD of numbers is the greatest common divisor

So, the GCD (412, 352, 462, 528) = 2.

Given numbers are 412, 352, 462, 528

The list of prime factors of all numbers are

Prime factors of 412 are 2 x 2 x 103

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

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 412, 352, 462, 528 is 2.

Given numbers are 412, 352, 462, 528

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

Apply this formula for all numbers.

Step1:

LCM(412, 352) = 36256

GCD(412, 352) = ( 412 x 352 ) / 36256

= 412 / 352

= 412

Step2:

LCM(4, 462) = 924

GCD(4, 462) = ( 4 x 462 ) / 924

= 4 / 462

= 4

Step3:

LCM(2, 528) = 528

GCD(2, 528) = ( 2 x 528 ) / 528

= 2 / 528

= 2

So, Greatest Common Divisor of 412, 352, 462, 528 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 617, 765, 492, 320
• GCD of 192, 871, 804, 773
• GCD of 545, 918, 424, 555
• GCD of 331, 530, 404, 754
• GCD of 895, 282, 749, 305

Given numbers are 412, 352, 462, 528
The greatest common divisor of numbers 412, 352, 462, 528 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 412, 352, 462, 528 is 2.

1. What is the GCD of 412, 352, 462, 528?

GCD of given numbers 412, 352, 462, 528 is 2

2. How to calculate the greatest common divisor of 412, 352, 462, 528?

We can find the highest common divisor of 412, 352, 462, 528 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 412, 352, 462, 528 i.e 2.

3. How can I use the GCD of 412, 352, 462, 528Calculator?

Out the numbers 412, 352, 462, 528 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.