GCD of 509, 251, 665, 948 Calculator

Given Input numbers are 509, 251, 665, 948

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

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Greatest Common Divisior

We found the divisors of 509, 251, 665, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 251, 665, 948 is 1.

Therefore, GCD of numbers 509, 251, 665, 948 is 1

Given Input Data is 509, 251, 665, 948

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

Prime Factorization of 509 is 509

Prime Factorization of 251 is 251

Prime Factorization of 665 is 5 x 7 x 19

Prime Factorization of 948 is 2 x 2 x 3 x 79

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(509, 251) = 127759

GCD(509, 251) = ( 509 x 251 ) / 127759

GCD(509, 251) = 127759 / 127759

GCD(509, 251) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 665

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

LCM(1, 665) = 665

GCD(1, 665) = ( 1 x 665 ) / 665

GCD(1, 665) = 665 / 665

GCD(1, 665) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 948

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

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

GCD(1, 948) = 948 / 948

GCD(1, 948) = 1

GCD of 509, 251, 665, 948 is 1

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1. What is the GCD of 509, 251, 665, 948?

GCD of 509, 251, 665, 948 is 1

2. Where do I get the detailed procedure to find GCD of 509, 251, 665, 948?

You can find a detailed procedure to find GCD of 509, 251, 665, 948 on our page.

3. How to find GCD of 509, 251, 665, 948 on a calculator?

You can find the GCD of 509, 251, 665, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.