GCD of 144, 570, 474, 684 Calculator

Given Input numbers are 144, 570, 474, 684

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

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

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 (144, 570, 474, 684) = 6.

Given numbers are 144, 570, 474, 684

The list of prime factors of all numbers are

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 570 are 2 x 3 x 5 x 19

Prime factors of 474 are 2 x 3 x 79

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 144, 570, 474, 684 is 6.

Given numbers are 144, 570, 474, 684

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

Apply this formula for all numbers.

Step1:

LCM(144, 570) = 13680

GCD(144, 570) = ( 144 x 570 ) / 13680

= 144 / 570

= 144

Step2:

LCM(6, 474) = 474

GCD(6, 474) = ( 6 x 474 ) / 474

= 6 / 474

= 6

Step3:

LCM(6, 684) = 684

GCD(6, 684) = ( 6 x 684 ) / 684

= 6 / 684

= 6

So, Greatest Common Divisor of 144, 570, 474, 684 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 790, 494, 107, 434
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Given numbers are 144, 570, 474, 684
The greatest common divisor of numbers 144, 570, 474, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 570, 474, 684 is 6.

1. What is the GCD of 144, 570, 474, 684?

GCD of given numbers 144, 570, 474, 684 is 6

2. How to calculate the greatest common divisor of 144, 570, 474, 684?

We can find the highest common divisor of 144, 570, 474, 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 144, 570, 474, 684 i.e 6.

3. How can I use the GCD of 144, 570, 474, 684Calculator?

Out the numbers 144, 570, 474, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.