GCD of 814, 170, 827, 251 Calculator

Given Input numbers are 814, 170, 827, 251

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

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

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Greatest Common Divisior

We found the divisors of 814, 170, 827, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 170, 827, 251 is 1.

Therefore, GCD of numbers 814, 170, 827, 251 is 1

Given Input Data is 814, 170, 827, 251

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 827 is 827

Prime Factorization of 251 is 251

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(814, 170) = 69190

GCD(814, 170) = ( 814 x 170 ) / 69190

GCD(814, 170) = 138380 / 69190

GCD(814, 170) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 827

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

LCM(2, 827) = 1654

GCD(2, 827) = ( 2 x 827 ) / 1654

GCD(2, 827) = 1654 / 1654

GCD(2, 827) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 251

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

LCM(1, 251) = 251

GCD(1, 251) = ( 1 x 251 ) / 251

GCD(1, 251) = 251 / 251

GCD(1, 251) = 1

GCD of 814, 170, 827, 251 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 783, 875, 124, 916
• GCD of 799, 902, 781, 109
• GCD of 597, 174, 310, 761
• GCD of 581, 642, 523, 251
• GCD of 169, 824, 717, 524

1. What is the GCD of 814, 170, 827, 251?

GCD of 814, 170, 827, 251 is 1

2. Where do I get the detailed procedure to find GCD of 814, 170, 827, 251?

You can find a detailed procedure to find GCD of 814, 170, 827, 251 on our page.

3. How to find GCD of 814, 170, 827, 251 on a calculator?

You can find the GCD of 814, 170, 827, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.