GCD of 252, 626, 71, 415 Calculator

Given Input numbers are 252, 626, 71, 415

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

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Greatest Common Divisior

We found the divisors of 252, 626, 71, 415 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 626, 71, 415 is 1.

Therefore, GCD of numbers 252, 626, 71, 415 is 1

Given Input Data is 252, 626, 71, 415

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

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 626 is 2 x 313

Prime Factorization of 71 is 71

Prime Factorization of 415 is 5 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(252, 626) = 78876

GCD(252, 626) = ( 252 x 626 ) / 78876

GCD(252, 626) = 157752 / 78876

GCD(252, 626) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 415

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

LCM(1, 415) = 415

GCD(1, 415) = ( 1 x 415 ) / 415

GCD(1, 415) = 415 / 415

GCD(1, 415) = 1

GCD of 252, 626, 71, 415 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 966, 623, 53, 754
• GCD of 195, 141, 91, 965
• GCD of 773, 401, 23, 491
• GCD of 756, 464, 24, 755
• GCD of 504, 157, 73, 937

1. What is the GCD of 252, 626, 71, 415?

GCD of 252, 626, 71, 415 is 1

2. Where do I get the detailed procedure to find GCD of 252, 626, 71, 415?

You can find a detailed procedure to find GCD of 252, 626, 71, 415 on our page.

3. How to find GCD of 252, 626, 71, 415 on a calculator?

You can find the GCD of 252, 626, 71, 415 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.