GCD of 224, 200, 936, 314 Calculator

Given Input numbers are 224, 200, 936, 314

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

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

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 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (224, 200, 936, 314) = 2.

Given numbers are 224, 200, 936, 314

The list of prime factors of all numbers are

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

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

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 314 are 2 x 157

The highest common occurrence is 2¹

Therefore, GCD of 224, 200, 936, 314 is 2.

Given numbers are 224, 200, 936, 314

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

Apply this formula for all numbers.

Step1:

LCM(224, 200) = 5600

GCD(224, 200) = ( 224 x 200 ) / 5600

= 224 / 200

= 224

Step2:

LCM(8, 936) = 936

GCD(8, 936) = ( 8 x 936 ) / 936

= 8 / 936

= 8

Step3:

LCM(8, 314) = 1256

GCD(8, 314) = ( 8 x 314 ) / 1256

= 8 / 314

= 8

So, Greatest Common Divisor of 224, 200, 936, 314 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 926, 586, 467, 387
• GCD of 802, 801, 368, 737
• GCD of 452, 529, 493, 219
• GCD of 342, 641, 846, 397
• GCD of 510, 819, 722, 635

Given numbers are 224, 200, 936, 314
The greatest common divisor of numbers 224, 200, 936, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 200, 936, 314 is 2.

1. What is the GCD of 224, 200, 936, 314?

GCD of given numbers 224, 200, 936, 314 is 2

2. How to calculate the greatest common divisor of 224, 200, 936, 314?

We can find the highest common divisor of 224, 200, 936, 314 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 224, 200, 936, 314 i.e 2.

3. How can I use the GCD of 224, 200, 936, 314Calculator?

Out the numbers 224, 200, 936, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.