GCD of 558, 616, 30, 654 Calculator

Given Input numbers are 558, 616, 30, 654

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

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 30 :

The positive integer divisors of 30 that completely divides 30 are.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

GCD of numbers is the greatest common divisor

So, the GCD (558, 616, 30, 654) = 2.

Given numbers are 558, 616, 30, 654

The list of prime factors of all numbers are

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 30 are 2 x 3 x 5

Prime factors of 654 are 2 x 3 x 109

The highest common occurrence is 2¹

Therefore, GCD of 558, 616, 30, 654 is 2.

Given numbers are 558, 616, 30, 654

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

Apply this formula for all numbers.

Step1:

LCM(558, 616) = 171864

GCD(558, 616) = ( 558 x 616 ) / 171864

= 558 / 616

= 558

Step2:

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

= 2 / 30

= 2

Step3:

LCM(2, 654) = 654

GCD(2, 654) = ( 2 x 654 ) / 654

= 2 / 654

= 2

So, Greatest Common Divisor of 558, 616, 30, 654 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 952, 920, 57, 713
• GCD of 378, 400, 36, 531
• GCD of 684, 549, 55, 379
• GCD of 210, 880, 87, 215
• GCD of 215, 553, 10, 340

Given numbers are 558, 616, 30, 654
The greatest common divisor of numbers 558, 616, 30, 654 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 558, 616, 30, 654 is 2.

1. What is the GCD of 558, 616, 30, 654?

GCD of given numbers 558, 616, 30, 654 is 2

2. How to calculate the greatest common divisor of 558, 616, 30, 654?

We can find the highest common divisor of 558, 616, 30, 654 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 558, 616, 30, 654 i.e 2.

3. How can I use the GCD of 558, 616, 30, 654Calculator?

Out the numbers 558, 616, 30, 654 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.