GCD of 870, 191, 880, 712 Calculator

Given Input numbers are 870, 191, 880, 712

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

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 191

List of positive integer divisors of 191 that divides 191 without a remainder.

1, 191

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 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Greatest Common Divisior

We found the divisors of 870, 191, 880, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 191, 880, 712 is 1.

Therefore, GCD of numbers 870, 191, 880, 712 is 1

Given Input Data is 870, 191, 880, 712

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

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 191 is 191

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

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(870, 191) = 166170

GCD(870, 191) = ( 870 x 191 ) / 166170

GCD(870, 191) = 166170 / 166170

GCD(870, 191) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 880

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

LCM(1, 880) = 880

GCD(1, 880) = ( 1 x 880 ) / 880

GCD(1, 880) = 880 / 880

GCD(1, 880) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 712

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

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

GCD(1, 712) = 712 / 712

GCD(1, 712) = 1

GCD of 870, 191, 880, 712 is 1

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1. What is the GCD of 870, 191, 880, 712?

GCD of 870, 191, 880, 712 is 1

2. Where do I get the detailed procedure to find GCD of 870, 191, 880, 712?

You can find a detailed procedure to find GCD of 870, 191, 880, 712 on our page.

3. How to find GCD of 870, 191, 880, 712 on a calculator?

You can find the GCD of 870, 191, 880, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.