GCD of 508, 477, 949, 340 Calculator

Given Input numbers are 508, 477, 949, 340

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

Divisors of 508

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

1, 2, 4, 127, 254, 508

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Greatest Common Divisior

We found the divisors of 508, 477, 949, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 508, 477, 949, 340 is 1.

Therefore, GCD of numbers 508, 477, 949, 340 is 1

Given Input Data is 508, 477, 949, 340

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

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 949 is 13 x 73

Prime Factorization of 340 is 2 x 2 x 5 x 17

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(508, 477) = 242316

GCD(508, 477) = ( 508 x 477 ) / 242316

GCD(508, 477) = 242316 / 242316

GCD(508, 477) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 340

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

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

GCD(1, 340) = 340 / 340

GCD(1, 340) = 1

GCD of 508, 477, 949, 340 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 613, 402, 244, 877
• GCD of 462, 993, 953, 848
• GCD of 191, 460, 211, 990
• GCD of 766, 365, 275, 691
• GCD of 256, 171, 219, 780

1. What is the GCD of 508, 477, 949, 340?

GCD of 508, 477, 949, 340 is 1

2. Where do I get the detailed procedure to find GCD of 508, 477, 949, 340?

You can find a detailed procedure to find GCD of 508, 477, 949, 340 on our page.

3. How to find GCD of 508, 477, 949, 340 on a calculator?

You can find the GCD of 508, 477, 949, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.