GCD of 100, 137, 40, 799 Calculator

Given Input numbers are 100, 137, 40, 799

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 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Greatest Common Divisior

We found the divisors of 100, 137, 40, 799 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 137, 40, 799 is 1.

Therefore, GCD of numbers 100, 137, 40, 799 is 1

Given Input Data is 100, 137, 40, 799

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 137 is 137

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 799 is 17 x 47

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, 137) = 13700

GCD(100, 137) = ( 100 x 137 ) / 13700

GCD(100, 137) = 13700 / 13700

GCD(100, 137) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 799

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

LCM(1, 799) = 799

GCD(1, 799) = ( 1 x 799 ) / 799

GCD(1, 799) = 799 / 799

GCD(1, 799) = 1

GCD of 100, 137, 40, 799 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 941, 323, 76, 529
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• GCD of 706, 198, 29, 952
• GCD of 203, 576, 74, 793
• GCD of 724, 543, 14, 319

1. What is the GCD of 100, 137, 40, 799?

GCD of 100, 137, 40, 799 is 1

2. Where do I get the detailed procedure to find GCD of 100, 137, 40, 799?

You can find a detailed procedure to find GCD of 100, 137, 40, 799 on our page.

3. How to find GCD of 100, 137, 40, 799 on a calculator?

You can find the GCD of 100, 137, 40, 799 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.