GCD of 880, 429, 10, 872 Calculator

Given Input numbers are 880, 429, 10, 872

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

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 10

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

1, 2, 5, 10

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 880, 429, 10, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 429, 10, 872 is 1.

Therefore, GCD of numbers 880, 429, 10, 872 is 1

Given Input Data is 880, 429, 10, 872

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

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 10 is 2 x 5

Prime Factorization of 872 is 2 x 2 x 2 x 109

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(880, 429) = 34320

GCD(880, 429) = ( 880 x 429 ) / 34320

GCD(880, 429) = 377520 / 34320

GCD(880, 429) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 10

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

LCM(11, 10) = 110

GCD(11, 10) = ( 11 x 10 ) / 110

GCD(11, 10) = 110 / 110

GCD(11, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

GCD of 880, 429, 10, 872 is 1

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1. What is the GCD of 880, 429, 10, 872?

GCD of 880, 429, 10, 872 is 1

2. Where do I get the detailed procedure to find GCD of 880, 429, 10, 872?

You can find a detailed procedure to find GCD of 880, 429, 10, 872 on our page.

3. How to find GCD of 880, 429, 10, 872 on a calculator?

You can find the GCD of 880, 429, 10, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.