GCD of 484, 899, 402, 315 Calculator

Given Input numbers are 484, 899, 402, 315

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

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

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Greatest Common Divisior

We found the divisors of 484, 899, 402, 315 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 484, 899, 402, 315 is 1.

Therefore, GCD of numbers 484, 899, 402, 315 is 1

Given Input Data is 484, 899, 402, 315

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

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 899 is 29 x 31

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 315 is 3 x 3 x 5 x 7

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(484, 899) = 435116

GCD(484, 899) = ( 484 x 899 ) / 435116

GCD(484, 899) = 435116 / 435116

GCD(484, 899) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 315

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

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

GCD(1, 315) = 315 / 315

GCD(1, 315) = 1

GCD of 484, 899, 402, 315 is 1

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1. What is the GCD of 484, 899, 402, 315?

GCD of 484, 899, 402, 315 is 1

2. Where do I get the detailed procedure to find GCD of 484, 899, 402, 315?

You can find a detailed procedure to find GCD of 484, 899, 402, 315 on our page.

3. How to find GCD of 484, 899, 402, 315 on a calculator?

You can find the GCD of 484, 899, 402, 315 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.