GCD of 100, 356, 46, 851 Calculator

Given Input numbers are 100, 356, 46, 851

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 356

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

1, 2, 4, 89, 178, 356

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 851

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

1, 23, 37, 851

Greatest Common Divisior

We found the divisors of 100, 356, 46, 851 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 356, 46, 851 is 1.

Therefore, GCD of numbers 100, 356, 46, 851 is 1

Given Input Data is 100, 356, 46, 851

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 46 is 2 x 23

Prime Factorization of 851 is 23 x 37

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(100, 356) = 8900

GCD(100, 356) = ( 100 x 356 ) / 8900

GCD(100, 356) = 35600 / 8900

GCD(100, 356) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 46

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

LCM(4, 46) = 92

GCD(4, 46) = ( 4 x 46 ) / 92

GCD(4, 46) = 184 / 92

GCD(4, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 851

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

LCM(2, 851) = 1702

GCD(2, 851) = ( 2 x 851 ) / 1702

GCD(2, 851) = 1702 / 1702

GCD(2, 851) = 1

GCD of 100, 356, 46, 851 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 376, 743, 73, 793
• GCD of 737, 827, 25, 561
• GCD of 158, 565, 23, 713
• GCD of 181, 569, 49, 956
• GCD of 214, 557, 59, 552

1. What is the GCD of 100, 356, 46, 851?

GCD of 100, 356, 46, 851 is 1

2. Where do I get the detailed procedure to find GCD of 100, 356, 46, 851?

You can find a detailed procedure to find GCD of 100, 356, 46, 851 on our page.

3. How to find GCD of 100, 356, 46, 851 on a calculator?

You can find the GCD of 100, 356, 46, 851 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.