GCD of 755, 688, 51, 880 Calculator

Given Input numbers are 755, 688, 51, 880

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

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

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 51

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

1, 3, 17, 51

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Greatest Common Divisior

We found the divisors of 755, 688, 51, 880 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 755, 688, 51, 880 is 1.

Therefore, GCD of numbers 755, 688, 51, 880 is 1

Given Input Data is 755, 688, 51, 880

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

Prime Factorization of 755 is 5 x 151

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

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(755, 688) = 519440

GCD(755, 688) = ( 755 x 688 ) / 519440

GCD(755, 688) = 519440 / 519440

GCD(755, 688) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 880

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

LCM(1, 880) = 880

GCD(1, 880) = ( 1 x 880 ) / 880

GCD(1, 880) = 880 / 880

GCD(1, 880) = 1

GCD of 755, 688, 51, 880 is 1

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1. What is the GCD of 755, 688, 51, 880?

GCD of 755, 688, 51, 880 is 1

2. Where do I get the detailed procedure to find GCD of 755, 688, 51, 880?

You can find a detailed procedure to find GCD of 755, 688, 51, 880 on our page.

3. How to find GCD of 755, 688, 51, 880 on a calculator?

You can find the GCD of 755, 688, 51, 880 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.