GCD of 10, 851, 109, 356 Calculator

Given Input numbers are 10, 851, 109, 356

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 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 10, 851, 109, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 851, 109, 356 is 1.

Therefore, GCD of numbers 10, 851, 109, 356 is 1

Given Input Data is 10, 851, 109, 356

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 851 is 23 x 37

Prime Factorization of 109 is 109

Prime Factorization of 356 is 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(10, 851) = 8510

GCD(10, 851) = ( 10 x 851 ) / 8510

GCD(10, 851) = 8510 / 8510

GCD(10, 851) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 356

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

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

GCD(1, 356) = 356 / 356

GCD(1, 356) = 1

GCD of 10, 851, 109, 356 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 91, 517, 249, 491
• GCD of 22, 902, 302, 290
• GCD of 17, 996, 566, 893
• GCD of 68, 749, 392, 374
• GCD of 23, 569, 738, 245

1. What is the GCD of 10, 851, 109, 356?

GCD of 10, 851, 109, 356 is 1

2. Where do I get the detailed procedure to find GCD of 10, 851, 109, 356?

You can find a detailed procedure to find GCD of 10, 851, 109, 356 on our page.

3. How to find GCD of 10, 851, 109, 356 on a calculator?

You can find the GCD of 10, 851, 109, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.