GCD of 270, 912, 200, 854 Calculator

Given Input numbers are 270, 912, 200, 854

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

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

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 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

GCD of numbers is the greatest common divisor

So, the GCD (270, 912, 200, 854) = 2.

Given numbers are 270, 912, 200, 854

The list of prime factors of all numbers are

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

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

Prime factors of 854 are 2 x 7 x 61

The highest common occurrence is 2¹

Therefore, GCD of 270, 912, 200, 854 is 2.

Given numbers are 270, 912, 200, 854

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

Apply this formula for all numbers.

Step1:

LCM(270, 912) = 41040

GCD(270, 912) = ( 270 x 912 ) / 41040

= 270 / 912

= 270

Step2:

LCM(6, 200) = 600

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

= 6 / 200

= 6

Step3:

LCM(2, 854) = 854

GCD(2, 854) = ( 2 x 854 ) / 854

= 2 / 854

= 2

So, Greatest Common Divisor of 270, 912, 200, 854 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 607, 376, 805, 160
• GCD of 762, 819, 136, 251
• GCD of 296, 479, 298, 595
• GCD of 595, 356, 223, 573
• GCD of 937, 680, 360, 187

Given numbers are 270, 912, 200, 854
The greatest common divisor of numbers 270, 912, 200, 854 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 912, 200, 854 is 2.

1. What is the GCD of 270, 912, 200, 854?

GCD of given numbers 270, 912, 200, 854 is 2

2. How to calculate the greatest common divisor of 270, 912, 200, 854?

We can find the highest common divisor of 270, 912, 200, 854 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 270, 912, 200, 854 i.e 2.

3. How can I use the GCD of 270, 912, 200, 854Calculator?

Out the numbers 270, 912, 200, 854 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.