GCD of 558, 516, 714, 200 Calculator

Given Input numbers are 558, 516, 714, 200

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 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

GCD of numbers is the greatest common divisor

So, the GCD (558, 516, 714, 200) = 2.

Given numbers are 558, 516, 714, 200

The list of prime factors of all numbers are

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

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 558, 516, 714, 200 is 2.

Given numbers are 558, 516, 714, 200

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

Apply this formula for all numbers.

Step1:

LCM(558, 516) = 47988

GCD(558, 516) = ( 558 x 516 ) / 47988

= 558 / 516

= 558

Step2:

LCM(6, 714) = 714

GCD(6, 714) = ( 6 x 714 ) / 714

= 6 / 714

= 6

Step3:

LCM(6, 200) = 600

GCD(6, 200) = ( 6 x 200 ) / 600

= 6 / 200

= 6

So, Greatest Common Divisor of 558, 516, 714, 200 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 297, 277, 471, 102
• GCD of 294, 416, 301, 402
• GCD of 150, 631, 878, 809
• GCD of 654, 459, 339, 320
• GCD of 150, 800, 780, 536

Given numbers are 558, 516, 714, 200
The greatest common divisor of numbers 558, 516, 714, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 558, 516, 714, 200 is 2.

1. What is the GCD of 558, 516, 714, 200?

GCD of given numbers 558, 516, 714, 200 is 2

2. How to calculate the greatest common divisor of 558, 516, 714, 200?

We can find the highest common divisor of 558, 516, 714, 200 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, 516, 714, 200 i.e 2.

3. How can I use the GCD of 558, 516, 714, 200Calculator?

Out the numbers 558, 516, 714, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.