GCD of 808, 880, 87, 754 Calculator

Given Input numbers are 808, 880, 87, 754

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

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

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

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Greatest Common Divisior

We found the divisors of 808, 880, 87, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 880, 87, 754 is 1.

Therefore, GCD of numbers 808, 880, 87, 754 is 1

Given Input Data is 808, 880, 87, 754

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

Prime Factorization of 808 is 2 x 2 x 2 x 101

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 754 is 2 x 13 x 29

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(808, 880) = 88880

GCD(808, 880) = ( 808 x 880 ) / 88880

GCD(808, 880) = 711040 / 88880

GCD(808, 880) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 87

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

LCM(8, 87) = 696

GCD(8, 87) = ( 8 x 87 ) / 696

GCD(8, 87) = 696 / 696

GCD(8, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 754

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

LCM(1, 754) = 754

GCD(1, 754) = ( 1 x 754 ) / 754

GCD(1, 754) = 754 / 754

GCD(1, 754) = 1

GCD of 808, 880, 87, 754 is 1

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1. What is the GCD of 808, 880, 87, 754?

GCD of 808, 880, 87, 754 is 1

2. Where do I get the detailed procedure to find GCD of 808, 880, 87, 754?

You can find a detailed procedure to find GCD of 808, 880, 87, 754 on our page.

3. How to find GCD of 808, 880, 87, 754 on a calculator?

You can find the GCD of 808, 880, 87, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.