GCD of 440, 536, 301, 100 Calculator

Given Input numbers are 440, 536, 301, 100

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

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

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

Greatest Common Divisior

We found the divisors of 440, 536, 301, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 536, 301, 100 is 1.

Therefore, GCD of numbers 440, 536, 301, 100 is 1

Given Input Data is 440, 536, 301, 100

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

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 301 is 7 x 43

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

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(440, 536) = 29480

GCD(440, 536) = ( 440 x 536 ) / 29480

GCD(440, 536) = 235840 / 29480

GCD(440, 536) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 301

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

LCM(8, 301) = 2408

GCD(8, 301) = ( 8 x 301 ) / 2408

GCD(8, 301) = 2408 / 2408

GCD(8, 301) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 440, 536, 301, 100 is 1

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1. What is the GCD of 440, 536, 301, 100?

GCD of 440, 536, 301, 100 is 1

2. Where do I get the detailed procedure to find GCD of 440, 536, 301, 100?

You can find a detailed procedure to find GCD of 440, 536, 301, 100 on our page.

3. How to find GCD of 440, 536, 301, 100 on a calculator?

You can find the GCD of 440, 536, 301, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.