GCD of 71, 508, 274, 630 Calculator

Given Input numbers are 71, 508, 274, 630

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

Divisors of 71

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

1, 71

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Greatest Common Divisior

We found the divisors of 71, 508, 274, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 508, 274, 630 is 1.

Therefore, GCD of numbers 71, 508, 274, 630 is 1

Given Input Data is 71, 508, 274, 630

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

Prime Factorization of 71 is 71

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 274 is 2 x 137

Prime Factorization of 630 is 2 x 3 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(71, 508) = 36068

GCD(71, 508) = ( 71 x 508 ) / 36068

GCD(71, 508) = 36068 / 36068

GCD(71, 508) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 274

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

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

GCD(1, 274) = 274 / 274

GCD(1, 274) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 630

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

LCM(1, 630) = 630

GCD(1, 630) = ( 1 x 630 ) / 630

GCD(1, 630) = 630 / 630

GCD(1, 630) = 1

GCD of 71, 508, 274, 630 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 84, 268, 914, 544
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• GCD of 31, 669, 930, 865

1. What is the GCD of 71, 508, 274, 630?

GCD of 71, 508, 274, 630 is 1

2. Where do I get the detailed procedure to find GCD of 71, 508, 274, 630?

You can find a detailed procedure to find GCD of 71, 508, 274, 630 on our page.

3. How to find GCD of 71, 508, 274, 630 on a calculator?

You can find the GCD of 71, 508, 274, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.