GCD of 200, 774, 302, 312 Calculator

Given Input numbers are 200, 774, 302, 312

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 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (200, 774, 302, 312) = 2.

Given numbers are 200, 774, 302, 312

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 774 are 2 x 3 x 3 x 43

Prime factors of 302 are 2 x 151

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 200, 774, 302, 312 is 2.

Given numbers are 200, 774, 302, 312

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

Apply this formula for all numbers.

Step1:

LCM(200, 774) = 77400

GCD(200, 774) = ( 200 x 774 ) / 77400

= 200 / 774

= 200

Step2:

LCM(2, 302) = 302

GCD(2, 302) = ( 2 x 302 ) / 302

= 2 / 302

= 2

Step3:

LCM(2, 312) = 312

GCD(2, 312) = ( 2 x 312 ) / 312

= 2 / 312

= 2

So, Greatest Common Divisor of 200, 774, 302, 312 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 424, 680, 379, 888
• GCD of 677, 599, 292, 669
• GCD of 135, 999, 406, 913
• GCD of 125, 839, 378, 769
• GCD of 120, 494, 622, 343

Given numbers are 200, 774, 302, 312
The greatest common divisor of numbers 200, 774, 302, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 774, 302, 312 is 2.

1. What is the GCD of 200, 774, 302, 312?

GCD of given numbers 200, 774, 302, 312 is 2

2. How to calculate the greatest common divisor of 200, 774, 302, 312?

We can find the highest common divisor of 200, 774, 302, 312 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, 774, 302, 312 i.e 2.

3. How can I use the GCD of 200, 774, 302, 312Calculator?

Out the numbers 200, 774, 302, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.