GCD of 433, 972, 69, 505 Calculator

Given Input numbers are 433, 972, 69, 505

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

Divisors of 433

List of positive integer divisors of 433 that divides 433 without a remainder.

1, 433

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 505

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

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 433, 972, 69, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 433, 972, 69, 505 is 1.

Therefore, GCD of numbers 433, 972, 69, 505 is 1

Given Input Data is 433, 972, 69, 505

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

Prime Factorization of 433 is 433

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 69 is 3 x 23

Prime Factorization of 505 is 5 x 101

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(433, 972) = 420876

GCD(433, 972) = ( 433 x 972 ) / 420876

GCD(433, 972) = 420876 / 420876

GCD(433, 972) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 505

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

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

GCD(1, 505) = 505 / 505

GCD(1, 505) = 1

GCD of 433, 972, 69, 505 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 902, 499, 62, 729
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• GCD of 339, 304, 81, 703
• GCD of 509, 482, 28, 952
• GCD of 367, 979, 35, 239

1. What is the GCD of 433, 972, 69, 505?

GCD of 433, 972, 69, 505 is 1

2. Where do I get the detailed procedure to find GCD of 433, 972, 69, 505?

You can find a detailed procedure to find GCD of 433, 972, 69, 505 on our page.

3. How to find GCD of 433, 972, 69, 505 on a calculator?

You can find the GCD of 433, 972, 69, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.