GCD of 505, 288, 67, 498 Calculator

Given Input numbers are 505, 288, 67, 498

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

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Greatest Common Divisior

We found the divisors of 505, 288, 67, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 288, 67, 498 is 1.

Therefore, GCD of numbers 505, 288, 67, 498 is 1

Given Input Data is 505, 288, 67, 498

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 67 is 67

Prime Factorization of 498 is 2 x 3 x 83

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(505, 288) = 145440

GCD(505, 288) = ( 505 x 288 ) / 145440

GCD(505, 288) = 145440 / 145440

GCD(505, 288) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

GCD of 505, 288, 67, 498 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 484, 426, 98, 154
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• GCD of 922, 345, 73, 710
• GCD of 836, 336, 24, 757
• GCD of 456, 275, 55, 129

1. What is the GCD of 505, 288, 67, 498?

GCD of 505, 288, 67, 498 is 1

2. Where do I get the detailed procedure to find GCD of 505, 288, 67, 498?

You can find a detailed procedure to find GCD of 505, 288, 67, 498 on our page.

3. How to find GCD of 505, 288, 67, 498 on a calculator?

You can find the GCD of 505, 288, 67, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.