GCD of 264, 688, 931, 505 Calculator

Given Input numbers are 264, 688, 931, 505

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 264, 688, 931, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 688, 931, 505 is 1.

Therefore, GCD of numbers 264, 688, 931, 505 is 1

Given Input Data is 264, 688, 931, 505

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 931 is 7 x 7 x 19

Prime Factorization of 505 is 5 x 101

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(264, 688) = 22704

GCD(264, 688) = ( 264 x 688 ) / 22704

GCD(264, 688) = 181632 / 22704

GCD(264, 688) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 931

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

LCM(8, 931) = 7448

GCD(8, 931) = ( 8 x 931 ) / 7448

GCD(8, 931) = 7448 / 7448

GCD(8, 931) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 505

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

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

GCD(1, 505) = 505 / 505

GCD(1, 505) = 1

GCD of 264, 688, 931, 505 is 1

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• GCD of 298, 664, 487, 768
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• GCD of 819, 503, 930, 780
• GCD of 405, 642, 925, 193

1. What is the GCD of 264, 688, 931, 505?

GCD of 264, 688, 931, 505 is 1

2. Where do I get the detailed procedure to find GCD of 264, 688, 931, 505?

You can find a detailed procedure to find GCD of 264, 688, 931, 505 on our page.

3. How to find GCD of 264, 688, 931, 505 on a calculator?

You can find the GCD of 264, 688, 931, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.