GCD of 814, 656, 69, 275 Calculator

Given Input numbers are 814, 656, 69, 275

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 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Greatest Common Divisior

We found the divisors of 814, 656, 69, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 656, 69, 275 is 1.

Therefore, GCD of numbers 814, 656, 69, 275 is 1

Given Input Data is 814, 656, 69, 275

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 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 69 is 3 x 23

Prime Factorization of 275 is 5 x 5 x 11

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, 656) = 266992

GCD(814, 656) = ( 814 x 656 ) / 266992

GCD(814, 656) = 533984 / 266992

GCD(814, 656) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 69

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

LCM(2, 69) = 138

GCD(2, 69) = ( 2 x 69 ) / 138

GCD(2, 69) = 138 / 138

GCD(2, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 275

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

LCM(1, 275) = 275

GCD(1, 275) = ( 1 x 275 ) / 275

GCD(1, 275) = 275 / 275

GCD(1, 275) = 1

GCD of 814, 656, 69, 275 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 519, 85, 352
• GCD of 929, 396, 90, 602
• GCD of 561, 932, 52, 856
• GCD of 649, 642, 22, 127
• GCD of 540, 489, 83, 722

1. What is the GCD of 814, 656, 69, 275?

GCD of 814, 656, 69, 275 is 1

2. Where do I get the detailed procedure to find GCD of 814, 656, 69, 275?

You can find a detailed procedure to find GCD of 814, 656, 69, 275 on our page.

3. How to find GCD of 814, 656, 69, 275 on a calculator?

You can find the GCD of 814, 656, 69, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.