GCD of 200, 866, 390, 624 Calculator

Given Input numbers are 200, 866, 390, 624

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

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

Divisors of 866 :

The positive integer divisors of 866 that completely divides 866 are.

1, 2, 433, 866

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

GCD of numbers is the greatest common divisor

So, the GCD (200, 866, 390, 624) = 2.

Given numbers are 200, 866, 390, 624

The list of prime factors of all numbers are

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

Prime factors of 866 are 2 x 433

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 200, 866, 390, 624 is 2.

Given numbers are 200, 866, 390, 624

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

Apply this formula for all numbers.

Step1:

LCM(200, 866) = 86600

GCD(200, 866) = ( 200 x 866 ) / 86600

= 200 / 866

= 200

Step2:

LCM(2, 390) = 390

GCD(2, 390) = ( 2 x 390 ) / 390

= 2 / 390

= 2

Step3:

LCM(2, 624) = 624

GCD(2, 624) = ( 2 x 624 ) / 624

= 2 / 624

= 2

So, Greatest Common Divisor of 200, 866, 390, 624 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 627, 737, 210, 927
• GCD of 749, 503, 601, 870
• GCD of 905, 187, 286, 560
• GCD of 992, 282, 557, 452
• GCD of 947, 471, 575, 401

Given numbers are 200, 866, 390, 624
The greatest common divisor of numbers 200, 866, 390, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 866, 390, 624 is 2.

1. What is the GCD of 200, 866, 390, 624?

GCD of given numbers 200, 866, 390, 624 is 2

2. How to calculate the greatest common divisor of 200, 866, 390, 624?

We can find the highest common divisor of 200, 866, 390, 624 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 200, 866, 390, 624 i.e 2.

3. How can I use the GCD of 200, 866, 390, 624Calculator?

Out the numbers 200, 866, 390, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.