GCD of 248, 501, 71, 420 Calculator

Given Input numbers are 248, 501, 71, 420

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

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 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 71

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

1, 71

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 248, 501, 71, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 248, 501, 71, 420 is 1.

Therefore, GCD of numbers 248, 501, 71, 420 is 1

Given Input Data is 248, 501, 71, 420

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

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

Prime Factorization of 501 is 3 x 167

Prime Factorization of 71 is 71

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

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(248, 501) = 124248

GCD(248, 501) = ( 248 x 501 ) / 124248

GCD(248, 501) = 124248 / 124248

GCD(248, 501) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

GCD of 248, 501, 71, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 899, 360, 88, 204
• GCD of 496, 193, 28, 752
• GCD of 657, 216, 19, 544
• GCD of 809, 422, 97, 894
• GCD of 844, 635, 48, 161

1. What is the GCD of 248, 501, 71, 420?

GCD of 248, 501, 71, 420 is 1

2. Where do I get the detailed procedure to find GCD of 248, 501, 71, 420?

You can find a detailed procedure to find GCD of 248, 501, 71, 420 on our page.

3. How to find GCD of 248, 501, 71, 420 on a calculator?

You can find the GCD of 248, 501, 71, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.