GCD of 209, 958, 867, 814 Calculator

Given Input numbers are 209, 958, 867, 814

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

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

GCD of numbers is the greatest common divisor

So, the GCD (209, 958, 867, 814) = 1.

Given numbers are 209, 958, 867, 814

The list of prime factors of all numbers are

Prime factors of 209 are 11 x 19

Prime factors of 958 are 2 x 479

Prime factors of 867 are 3 x 17 x 17

Prime factors of 814 are 2 x 11 x 37

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

Given numbers are 209, 958, 867, 814

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

Apply this formula for all numbers.

Step1:

LCM(209, 958) = 200222

GCD(209, 958) = ( 209 x 958 ) / 200222

= 209 / 958

= 209

Step2:

LCM(1, 867) = 867

GCD(1, 867) = ( 1 x 867 ) / 867

= 1 / 867

= 1

Step3:

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

= 1 / 814

= 1

So, Greatest Common Divisor of 209, 958, 867, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 323, 288, 248, 117
• GCD of 501, 661, 191, 172
• GCD of 662, 202, 736, 810
• GCD of 216, 740, 478, 413
• GCD of 708, 231, 189, 547

Given numbers are 209, 958, 867, 814
The greatest common divisor of numbers 209, 958, 867, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 958, 867, 814 is 1.

1. What is the GCD of 209, 958, 867, 814?

GCD of given numbers 209, 958, 867, 814 is 1

2. How to calculate the greatest common divisor of 209, 958, 867, 814?

We can find the highest common divisor of 209, 958, 867, 814 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 209, 958, 867, 814 i.e 1.

3. How can I use the GCD of 209, 958, 867, 814Calculator?

Out the numbers 209, 958, 867, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.