GCD of 414, 180, 558, 658 Calculator

Given Input numbers are 414, 180, 558, 658

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

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

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 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

GCD of numbers is the greatest common divisor

So, the GCD (414, 180, 558, 658) = 2.

Given numbers are 414, 180, 558, 658

The list of prime factors of all numbers are

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

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

Prime factors of 658 are 2 x 7 x 47

The highest common occurrence is 2¹

Therefore, GCD of 414, 180, 558, 658 is 2.

Given numbers are 414, 180, 558, 658

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

Apply this formula for all numbers.

Step1:

LCM(414, 180) = 4140

GCD(414, 180) = ( 414 x 180 ) / 4140

= 414 / 180

= 414

Step2:

LCM(18, 558) = 558

GCD(18, 558) = ( 18 x 558 ) / 558

= 18 / 558

= 18

Step3:

LCM(18, 658) = 5922

GCD(18, 658) = ( 18 x 658 ) / 5922

= 18 / 658

= 18

So, Greatest Common Divisor of 414, 180, 558, 658 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 150, 245, 640, 175
• GCD of 103, 532, 773, 617
• GCD of 633, 875, 489, 995
• GCD of 717, 530, 824, 591
• GCD of 713, 431, 258, 519

Given numbers are 414, 180, 558, 658
The greatest common divisor of numbers 414, 180, 558, 658 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 414, 180, 558, 658 is 2.

1. What is the GCD of 414, 180, 558, 658?

GCD of given numbers 414, 180, 558, 658 is 2

2. How to calculate the greatest common divisor of 414, 180, 558, 658?

We can find the highest common divisor of 414, 180, 558, 658 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 414, 180, 558, 658 i.e 2.

3. How can I use the GCD of 414, 180, 558, 658Calculator?

Out the numbers 414, 180, 558, 658 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.