GCD of 814, 289, 949, 687 Calculator

Given Input numbers are 814, 289, 949, 687

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

Divisors of 814 :

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

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

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (814, 289, 949, 687) = 1.

Given numbers are 814, 289, 949, 687

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 289 are 17 x 17

Prime factors of 949 are 13 x 73

Prime factors of 687 are 3 x 229

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

Given numbers are 814, 289, 949, 687

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

Apply this formula for all numbers.

Step1:

LCM(814, 289) = 235246

GCD(814, 289) = ( 814 x 289 ) / 235246

= 814 / 289

= 814

Step2:

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

= 1 / 949

= 1

Step3:

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

= 1 / 687

= 1

So, Greatest Common Divisor of 814, 289, 949, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 672, 504, 826, 309
• GCD of 217, 834, 246, 299
• GCD of 465, 161, 789, 422
• GCD of 837, 145, 219, 621
• GCD of 136, 840, 163, 213

Given numbers are 814, 289, 949, 687
The greatest common divisor of numbers 814, 289, 949, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 289, 949, 687 is 1.

1. What is the GCD of 814, 289, 949, 687?

GCD of given numbers 814, 289, 949, 687 is 1

2. How to calculate the greatest common divisor of 814, 289, 949, 687?

We can find the highest common divisor of 814, 289, 949, 687 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 814, 289, 949, 687 i.e 1.

3. How can I use the GCD of 814, 289, 949, 687Calculator?

Out the numbers 814, 289, 949, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.