GCD of 252, 887, 398, 914 Calculator

Given Input numbers are 252, 887, 398, 914

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 887

List of positive integer divisors of 887 that divides 887 without a remainder.

1, 887

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 252, 887, 398, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 887, 398, 914 is 1.

Therefore, GCD of numbers 252, 887, 398, 914 is 1

Given Input Data is 252, 887, 398, 914

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 887 is 887

Prime Factorization of 398 is 2 x 199

Prime Factorization of 914 is 2 x 457

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, 887) = 223524

GCD(252, 887) = ( 252 x 887 ) / 223524

GCD(252, 887) = 223524 / 223524

GCD(252, 887) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 252, 887, 398, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 882, 578, 134, 210
• GCD of 115, 370, 478, 463
• GCD of 398, 473, 956, 806
• GCD of 514, 937, 899, 731
• GCD of 546, 362, 327, 562

1. What is the GCD of 252, 887, 398, 914?

GCD of 252, 887, 398, 914 is 1

2. Where do I get the detailed procedure to find GCD of 252, 887, 398, 914?

You can find a detailed procedure to find GCD of 252, 887, 398, 914 on our page.

3. How to find GCD of 252, 887, 398, 914 on a calculator?

You can find the GCD of 252, 887, 398, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.