GCD of 504, 318, 655, 757 Calculator

Given Input numbers are 504, 318, 655, 757

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

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Greatest Common Divisior

We found the divisors of 504, 318, 655, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 318, 655, 757 is 1.

Therefore, GCD of numbers 504, 318, 655, 757 is 1

Given Input Data is 504, 318, 655, 757

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

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 655 is 5 x 131

Prime Factorization of 757 is 757

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(504, 318) = 26712

GCD(504, 318) = ( 504 x 318 ) / 26712

GCD(504, 318) = 160272 / 26712

GCD(504, 318) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 655

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

LCM(6, 655) = 3930

GCD(6, 655) = ( 6 x 655 ) / 3930

GCD(6, 655) = 3930 / 3930

GCD(6, 655) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 757

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

LCM(1, 757) = 757

GCD(1, 757) = ( 1 x 757 ) / 757

GCD(1, 757) = 757 / 757

GCD(1, 757) = 1

GCD of 504, 318, 655, 757 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 120, 596, 488, 963
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• GCD of 686, 318, 779, 396
• GCD of 170, 611, 324, 765
• GCD of 362, 680, 112, 511

1. What is the GCD of 504, 318, 655, 757?

GCD of 504, 318, 655, 757 is 1

2. Where do I get the detailed procedure to find GCD of 504, 318, 655, 757?

You can find a detailed procedure to find GCD of 504, 318, 655, 757 on our page.

3. How to find GCD of 504, 318, 655, 757 on a calculator?

You can find the GCD of 504, 318, 655, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.