GCD of 872, 324, 408, 732 Calculator

Given Input numbers are 872, 324, 408, 732

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

Divisors of 872 :

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

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

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

GCD of numbers is the greatest common divisor

So, the GCD (872, 324, 408, 732) = 4.

Given numbers are 872, 324, 408, 732

The list of prime factors of all numbers are

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

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 732 are 2 x 2 x 3 x 61

The highest common occurrence is 2²

Therefore, GCD of 872, 324, 408, 732 is 4.

Given numbers are 872, 324, 408, 732

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

Apply this formula for all numbers.

Step1:

LCM(872, 324) = 70632

GCD(872, 324) = ( 872 x 324 ) / 70632

= 872 / 324

= 872

Step2:

LCM(4, 408) = 408

GCD(4, 408) = ( 4 x 408 ) / 408

= 4 / 408

= 4

Step3:

LCM(4, 732) = 732

GCD(4, 732) = ( 4 x 732 ) / 732

= 4 / 732

= 4

So, Greatest Common Divisor of 872, 324, 408, 732 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 833, 690, 446, 278
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• GCD of 796, 489, 161, 529
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• GCD of 773, 500, 949, 257

Given numbers are 872, 324, 408, 732
The greatest common divisor of numbers 872, 324, 408, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 324, 408, 732 is 4.

1. What is the GCD of 872, 324, 408, 732?

GCD of given numbers 872, 324, 408, 732 is 4

2. How to calculate the greatest common divisor of 872, 324, 408, 732?

We can find the highest common divisor of 872, 324, 408, 732 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 872, 324, 408, 732 i.e 4.

3. How can I use the GCD of 872, 324, 408, 732Calculator?

Out the numbers 872, 324, 408, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.