GCD of 10, 347, 261, 575 Calculator

Given Input numbers are 10, 347, 261, 575

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Divisors of 261

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

1, 3, 9, 29, 87, 261

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Greatest Common Divisior

We found the divisors of 10, 347, 261, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 347, 261, 575 is 1.

Therefore, GCD of numbers 10, 347, 261, 575 is 1

Given Input Data is 10, 347, 261, 575

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 347 is 347

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 575 is 5 x 5 x 23

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(10, 347) = 3470

GCD(10, 347) = ( 10 x 347 ) / 3470

GCD(10, 347) = 3470 / 3470

GCD(10, 347) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 261

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

LCM(1, 261) = 261

GCD(1, 261) = ( 1 x 261 ) / 261

GCD(1, 261) = 261 / 261

GCD(1, 261) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 575

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

LCM(1, 575) = 575

GCD(1, 575) = ( 1 x 575 ) / 575

GCD(1, 575) = 575 / 575

GCD(1, 575) = 1

GCD of 10, 347, 261, 575 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 783, 135, 137
• GCD of 71, 482, 251, 670
• GCD of 70, 209, 721, 927
• GCD of 65, 360, 747, 709
• GCD of 47, 360, 627, 674

1. What is the GCD of 10, 347, 261, 575?

GCD of 10, 347, 261, 575 is 1

2. Where do I get the detailed procedure to find GCD of 10, 347, 261, 575?

You can find a detailed procedure to find GCD of 10, 347, 261, 575 on our page.

3. How to find GCD of 10, 347, 261, 575 on a calculator?

You can find the GCD of 10, 347, 261, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.