GCD of 328, 760, 224, 468 Calculator

Given Input numbers are 328, 760, 224, 468

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

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

GCD of numbers is the greatest common divisor

So, the GCD (328, 760, 224, 468) = 4.

Given numbers are 328, 760, 224, 468

The list of prime factors of all numbers are

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

The highest common occurrence is 2²

Therefore, GCD of 328, 760, 224, 468 is 4.

Given numbers are 328, 760, 224, 468

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

Apply this formula for all numbers.

Step1:

LCM(328, 760) = 31160

GCD(328, 760) = ( 328 x 760 ) / 31160

= 328 / 760

= 328

Step2:

LCM(8, 224) = 224

GCD(8, 224) = ( 8 x 224 ) / 224

= 8 / 224

= 8

Step3:

LCM(8, 468) = 936

GCD(8, 468) = ( 8 x 468 ) / 936

= 8 / 468

= 8

So, Greatest Common Divisor of 328, 760, 224, 468 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 680, 291, 295, 654
• GCD of 903, 530, 817, 881
• GCD of 493, 100, 153, 716
• GCD of 982, 679, 703, 310
• GCD of 984, 248, 788, 410

Given numbers are 328, 760, 224, 468
The greatest common divisor of numbers 328, 760, 224, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 328, 760, 224, 468 is 4.

1. What is the GCD of 328, 760, 224, 468?

GCD of given numbers 328, 760, 224, 468 is 4

2. How to calculate the greatest common divisor of 328, 760, 224, 468?

We can find the highest common divisor of 328, 760, 224, 468 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 328, 760, 224, 468 i.e 4.

3. How can I use the GCD of 328, 760, 224, 468Calculator?

Out the numbers 328, 760, 224, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.