GCD of 548, 576, 588, 684 Calculator

Given Input numbers are 548, 576, 588, 684

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 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (548, 576, 588, 684) = 4.

Given numbers are 548, 576, 588, 684

The list of prime factors of all numbers are

Prime factors of 548 are 2 x 2 x 137

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

The highest common occurrence is 2²

Therefore, GCD of 548, 576, 588, 684 is 4.

Given numbers are 548, 576, 588, 684

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

Apply this formula for all numbers.

Step1:

LCM(548, 576) = 78912

GCD(548, 576) = ( 548 x 576 ) / 78912

= 548 / 576

= 548

Step2:

LCM(4, 588) = 588

GCD(4, 588) = ( 4 x 588 ) / 588

= 4 / 588

= 4

Step3:

LCM(4, 684) = 684

GCD(4, 684) = ( 4 x 684 ) / 684

= 4 / 684

= 4

So, Greatest Common Divisor of 548, 576, 588, 684 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 478, 490, 738, 845
• GCD of 278, 458, 797, 877
• GCD of 373, 175, 664, 494
• GCD of 102, 955, 941, 675
• GCD of 121, 163, 280, 762

Given numbers are 548, 576, 588, 684
The greatest common divisor of numbers 548, 576, 588, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 576, 588, 684 is 4.

1. What is the GCD of 548, 576, 588, 684?

GCD of given numbers 548, 576, 588, 684 is 4

2. How to calculate the greatest common divisor of 548, 576, 588, 684?

We can find the highest common divisor of 548, 576, 588, 684 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, 576, 588, 684 i.e 4.

3. How can I use the GCD of 548, 576, 588, 684Calculator?

Out the numbers 548, 576, 588, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.