GCD of 35, 368, 300, 484 Calculator

Given Input numbers are 35, 368, 300, 484

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

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Greatest Common Divisior

We found the divisors of 35, 368, 300, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 368, 300, 484 is 1.

Therefore, GCD of numbers 35, 368, 300, 484 is 1

Given Input Data is 35, 368, 300, 484

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 484 is 2 x 2 x 11 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(35, 368) = 12880

GCD(35, 368) = ( 35 x 368 ) / 12880

GCD(35, 368) = 12880 / 12880

GCD(35, 368) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 484

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

LCM(1, 484) = 484

GCD(1, 484) = ( 1 x 484 ) / 484

GCD(1, 484) = 484 / 484

GCD(1, 484) = 1

GCD of 35, 368, 300, 484 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 964, 409, 265
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1. What is the GCD of 35, 368, 300, 484?

GCD of 35, 368, 300, 484 is 1

2. Where do I get the detailed procedure to find GCD of 35, 368, 300, 484?

You can find a detailed procedure to find GCD of 35, 368, 300, 484 on our page.

3. How to find GCD of 35, 368, 300, 484 on a calculator?

You can find the GCD of 35, 368, 300, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.