GCD of 407, 148, 248, 902 Calculator

Given Input numbers are 407, 148, 248, 902

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

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 407, 148, 248, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 148, 248, 902 is 1.

Therefore, GCD of numbers 407, 148, 248, 902 is 1

Given Input Data is 407, 148, 248, 902

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 902 is 2 x 11 x 41

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(407, 148) = 1628

GCD(407, 148) = ( 407 x 148 ) / 1628

GCD(407, 148) = 60236 / 1628

GCD(407, 148) = 37

Step2:

Here we consider the GCD from the above i.e. 37 as first number and the next as 248

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

LCM(37, 248) = 9176

GCD(37, 248) = ( 37 x 248 ) / 9176

GCD(37, 248) = 9176 / 9176

GCD(37, 248) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 902

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

LCM(1, 902) = 902

GCD(1, 902) = ( 1 x 902 ) / 902

GCD(1, 902) = 902 / 902

GCD(1, 902) = 1

GCD of 407, 148, 248, 902 is 1

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1. What is the GCD of 407, 148, 248, 902?

GCD of 407, 148, 248, 902 is 1

2. Where do I get the detailed procedure to find GCD of 407, 148, 248, 902?

You can find a detailed procedure to find GCD of 407, 148, 248, 902 on our page.

3. How to find GCD of 407, 148, 248, 902 on a calculator?

You can find the GCD of 407, 148, 248, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.