GCD of 261, 850, 29, 442 Calculator

Given Input numbers are 261, 850, 29, 442

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 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Greatest Common Divisior

We found the divisors of 261, 850, 29, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 850, 29, 442 is 1.

Therefore, GCD of numbers 261, 850, 29, 442 is 1

Given Input Data is 261, 850, 29, 442

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 850 is 2 x 5 x 5 x 17

Prime Factorization of 29 is 29

Prime Factorization of 442 is 2 x 13 x 17

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, 850) = 221850

GCD(261, 850) = ( 261 x 850 ) / 221850

GCD(261, 850) = 221850 / 221850

GCD(261, 850) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 442

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

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

GCD(1, 442) = 442 / 442

GCD(1, 442) = 1

GCD of 261, 850, 29, 442 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 354, 486, 45, 771
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• GCD of 242, 434, 29, 646
• GCD of 797, 260, 68, 752
• GCD of 734, 891, 14, 757

1. What is the GCD of 261, 850, 29, 442?

GCD of 261, 850, 29, 442 is 1

2. Where do I get the detailed procedure to find GCD of 261, 850, 29, 442?

You can find a detailed procedure to find GCD of 261, 850, 29, 442 on our page.

3. How to find GCD of 261, 850, 29, 442 on a calculator?

You can find the GCD of 261, 850, 29, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.