GCD of 261, 700, 814, 594 Calculator

Given Input numbers are 261, 700, 814, 594

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

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

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 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Greatest Common Divisior

We found the divisors of 261, 700, 814, 594 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 700, 814, 594 is 1.

Therefore, GCD of numbers 261, 700, 814, 594 is 1

Given Input Data is 261, 700, 814, 594

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

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 594 is 2 x 3 x 3 x 3 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(261, 700) = 182700

GCD(261, 700) = ( 261 x 700 ) / 182700

GCD(261, 700) = 182700 / 182700

GCD(261, 700) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

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

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 594

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

LCM(1, 594) = 594

GCD(1, 594) = ( 1 x 594 ) / 594

GCD(1, 594) = 594 / 594

GCD(1, 594) = 1

GCD of 261, 700, 814, 594 is 1

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1. What is the GCD of 261, 700, 814, 594?

GCD of 261, 700, 814, 594 is 1

2. Where do I get the detailed procedure to find GCD of 261, 700, 814, 594?

You can find a detailed procedure to find GCD of 261, 700, 814, 594 on our page.

3. How to find GCD of 261, 700, 814, 594 on a calculator?

You can find the GCD of 261, 700, 814, 594 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.