GCD of 953, 261, 45, 538 Calculator

Given Input numbers are 953, 261, 45, 538

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

Divisors of 953

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

1, 953

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 953, 261, 45, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 953, 261, 45, 538 is 1.

Therefore, GCD of numbers 953, 261, 45, 538 is 1

Given Input Data is 953, 261, 45, 538

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

Prime Factorization of 953 is 953

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 538 is 2 x 269

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(953, 261) = 248733

GCD(953, 261) = ( 953 x 261 ) / 248733

GCD(953, 261) = 248733 / 248733

GCD(953, 261) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

GCD of 953, 261, 45, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 742, 596, 33, 840
• GCD of 677, 548, 51, 706
• GCD of 527, 377, 85, 930
• GCD of 362, 854, 47, 291
• GCD of 282, 119, 69, 972

1. What is the GCD of 953, 261, 45, 538?

GCD of 953, 261, 45, 538 is 1

2. Where do I get the detailed procedure to find GCD of 953, 261, 45, 538?

You can find a detailed procedure to find GCD of 953, 261, 45, 538 on our page.

3. How to find GCD of 953, 261, 45, 538 on a calculator?

You can find the GCD of 953, 261, 45, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.