GCD of 69, 202, 953, 522 Calculator

Given Input numbers are 69, 202, 953, 522

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

Divisors of 69

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

1, 3, 23, 69

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Greatest Common Divisior

We found the divisors of 69, 202, 953, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 69, 202, 953, 522 is 1.

Therefore, GCD of numbers 69, 202, 953, 522 is 1

Given Input Data is 69, 202, 953, 522

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 202 is 2 x 101

Prime Factorization of 953 is 953

Prime Factorization of 522 is 2 x 3 x 3 x 29

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(69, 202) = 13938

GCD(69, 202) = ( 69 x 202 ) / 13938

GCD(69, 202) = 13938 / 13938

GCD(69, 202) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 953

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

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

GCD(1, 953) = 953 / 953

GCD(1, 953) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 522

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

LCM(1, 522) = 522

GCD(1, 522) = ( 1 x 522 ) / 522

GCD(1, 522) = 522 / 522

GCD(1, 522) = 1

GCD of 69, 202, 953, 522 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 45, 194, 121, 975
• GCD of 94, 799, 778, 527
• GCD of 30, 939, 551, 550
• GCD of 87, 164, 790, 825
• GCD of 66, 332, 253, 646

1. What is the GCD of 69, 202, 953, 522?

GCD of 69, 202, 953, 522 is 1

2. Where do I get the detailed procedure to find GCD of 69, 202, 953, 522?

You can find a detailed procedure to find GCD of 69, 202, 953, 522 on our page.

3. How to find GCD of 69, 202, 953, 522 on a calculator?

You can find the GCD of 69, 202, 953, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.