GCD of 51, 264, 704, 766 Calculator

Given Input numbers are 51, 264, 704, 766

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

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

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 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 51, 264, 704, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 264, 704, 766 is 1.

Therefore, GCD of numbers 51, 264, 704, 766 is 1

Given Input Data is 51, 264, 704, 766

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

Prime Factorization of 51 is 3 x 17

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 766 is 2 x 383

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(51, 264) = 4488

GCD(51, 264) = ( 51 x 264 ) / 4488

GCD(51, 264) = 13464 / 4488

GCD(51, 264) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 704

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

LCM(3, 704) = 2112

GCD(3, 704) = ( 3 x 704 ) / 2112

GCD(3, 704) = 2112 / 2112

GCD(3, 704) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 766

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

LCM(1, 766) = 766

GCD(1, 766) = ( 1 x 766 ) / 766

GCD(1, 766) = 766 / 766

GCD(1, 766) = 1

GCD of 51, 264, 704, 766 is 1

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• GCD of 73, 143, 198, 408
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• GCD of 92, 344, 955, 604

1. What is the GCD of 51, 264, 704, 766?

GCD of 51, 264, 704, 766 is 1

2. Where do I get the detailed procedure to find GCD of 51, 264, 704, 766?

You can find a detailed procedure to find GCD of 51, 264, 704, 766 on our page.

3. How to find GCD of 51, 264, 704, 766 on a calculator?

You can find the GCD of 51, 264, 704, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.