GCD of 105, 889, 887, 821 Calculator

Given Input numbers are 105, 889, 887, 821

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 887

List of positive integer divisors of 887 that divides 887 without a remainder.

1, 887

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 105, 889, 887, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 889, 887, 821 is 1.

Therefore, GCD of numbers 105, 889, 887, 821 is 1

Given Input Data is 105, 889, 887, 821

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 889 is 7 x 127

Prime Factorization of 887 is 887

Prime Factorization of 821 is 821

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(105, 889) = 13335

GCD(105, 889) = ( 105 x 889 ) / 13335

GCD(105, 889) = 93345 / 13335

GCD(105, 889) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 887

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

LCM(7, 887) = 6209

GCD(7, 887) = ( 7 x 887 ) / 6209

GCD(7, 887) = 6209 / 6209

GCD(7, 887) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 105, 889, 887, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 379, 387, 589, 394
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• GCD of 131, 311, 228, 114

1. What is the GCD of 105, 889, 887, 821?

GCD of 105, 889, 887, 821 is 1

2. Where do I get the detailed procedure to find GCD of 105, 889, 887, 821?

You can find a detailed procedure to find GCD of 105, 889, 887, 821 on our page.

3. How to find GCD of 105, 889, 887, 821 on a calculator?

You can find the GCD of 105, 889, 887, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.