GCD of 10, 893, 858, 198 Calculator

Given Input numbers are 10, 893, 858, 198

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 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Greatest Common Divisior

We found the divisors of 10, 893, 858, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 893, 858, 198 is 1.

Therefore, GCD of numbers 10, 893, 858, 198 is 1

Given Input Data is 10, 893, 858, 198

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 893 is 19 x 47

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 198 is 2 x 3 x 3 x 11

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, 893) = 8930

GCD(10, 893) = ( 10 x 893 ) / 8930

GCD(10, 893) = 8930 / 8930

GCD(10, 893) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 858

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

LCM(1, 858) = 858

GCD(1, 858) = ( 1 x 858 ) / 858

GCD(1, 858) = 858 / 858

GCD(1, 858) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 10, 893, 858, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 25, 124, 902, 743
• GCD of 25, 247, 759, 133
• GCD of 79, 906, 911, 551
• GCD of 58, 595, 937, 653
• GCD of 45, 324, 564, 540

1. What is the GCD of 10, 893, 858, 198?

GCD of 10, 893, 858, 198 is 1

2. Where do I get the detailed procedure to find GCD of 10, 893, 858, 198?

You can find a detailed procedure to find GCD of 10, 893, 858, 198 on our page.

3. How to find GCD of 10, 893, 858, 198 on a calculator?

You can find the GCD of 10, 893, 858, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.