GCD of 548, 488, 872 Calculator

Given Input numbers are 548, 488, 872

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

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

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 (548, 488, 872) = 4.

Given numbers are 548, 488, 872

The list of prime factors of all numbers are

Prime factors of 548 are 2 x 2 x 137

Prime factors of 488 are 2 x 2 x 2 x 61

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

The highest common occurrence is 2²

Therefore, GCD of 548, 488, 872 is 4.

Given numbers are 548, 488, 872

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

Apply this formula for all numbers.

Step1:

LCM(548, 488) = 66856

GCD(548, 488) = ( 548 x 488 ) / 66856

= 548 / 488

= 548

Step2:

LCM(4, 872) = 872

GCD(4, 872) = ( 4 x 872 ) / 872

= 4 / 872

= 4

So, Greatest Common Divisor of 548, 488, 872 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 352, 370, 724
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Given numbers are 548, 488, 872
The greatest common divisor of numbers 548, 488, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 488, 872 is 4.

1. What is the GCD of 548, 488, 872?

GCD of given numbers 548, 488, 872 is 4

2. How to calculate the greatest common divisor of 548, 488, 872?

We can find the highest common divisor of 548, 488, 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 548, 488, 872 i.e 4.

3. How can I use the GCD of 548, 488, 872Calculator?

Out the numbers 548, 488, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.