GCD of 261, 710, 550, 945 Calculator

Given Input numbers are 261, 710, 550, 945

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 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Greatest Common Divisior

We found the divisors of 261, 710, 550, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 710, 550, 945 is 1.

Therefore, GCD of numbers 261, 710, 550, 945 is 1

Given Input Data is 261, 710, 550, 945

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 710 is 2 x 5 x 71

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

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, 710) = 185310

GCD(261, 710) = ( 261 x 710 ) / 185310

GCD(261, 710) = 185310 / 185310

GCD(261, 710) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 550

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

LCM(1, 550) = 550

GCD(1, 550) = ( 1 x 550 ) / 550

GCD(1, 550) = 550 / 550

GCD(1, 550) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

GCD of 261, 710, 550, 945 is 1

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1. What is the GCD of 261, 710, 550, 945?

GCD of 261, 710, 550, 945 is 1

2. Where do I get the detailed procedure to find GCD of 261, 710, 550, 945?

You can find a detailed procedure to find GCD of 261, 710, 550, 945 on our page.

3. How to find GCD of 261, 710, 550, 945 on a calculator?

You can find the GCD of 261, 710, 550, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.