GCD of 918, 854, 199, 213 Calculator

Given Input numbers are 918, 854, 199, 213

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

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 854 :

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

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

Divisors of 199 :

The positive integer divisors of 199 that completely divides 199 are.

1, 199

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

GCD of numbers is the greatest common divisor

So, the GCD (918, 854, 199, 213) = 1.

Given numbers are 918, 854, 199, 213

The list of prime factors of all numbers are

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 854 are 2 x 7 x 61

Prime factors of 199 are 199

Prime factors of 213 are 3 x 71

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 918, 854, 199, 213

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

Apply this formula for all numbers.

Step1:

LCM(918, 854) = 391986

GCD(918, 854) = ( 918 x 854 ) / 391986

= 918 / 854

= 918

Step2:

LCM(2, 199) = 398

GCD(2, 199) = ( 2 x 199 ) / 398

= 2 / 199

= 2

Step3:

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

= 1 / 213

= 1

So, Greatest Common Divisor of 918, 854, 199, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 611, 315, 631, 932
• GCD of 753, 689, 953, 214
• GCD of 843, 109, 723, 261
• GCD of 812, 949, 126, 809
• GCD of 411, 921, 531, 241

Given numbers are 918, 854, 199, 213
The greatest common divisor of numbers 918, 854, 199, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 854, 199, 213 is 1.

1. What is the GCD of 918, 854, 199, 213?

GCD of given numbers 918, 854, 199, 213 is 1

2. How to calculate the greatest common divisor of 918, 854, 199, 213?

We can find the highest common divisor of 918, 854, 199, 213 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 918, 854, 199, 213 i.e 1.

3. How can I use the GCD of 918, 854, 199, 213Calculator?

Out the numbers 918, 854, 199, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.