GCD of 880, 918, 691, 738 Calculator

Given Input numbers are 880, 918, 691, 738

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

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 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 880, 918, 691, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 918, 691, 738 is 1.

Therefore, GCD of numbers 880, 918, 691, 738 is 1

Given Input Data is 880, 918, 691, 738

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

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 691 is 691

Prime Factorization of 738 is 2 x 3 x 3 x 41

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(880, 918) = 403920

GCD(880, 918) = ( 880 x 918 ) / 403920

GCD(880, 918) = 807840 / 403920

GCD(880, 918) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 691

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

LCM(2, 691) = 1382

GCD(2, 691) = ( 2 x 691 ) / 1382

GCD(2, 691) = 1382 / 1382

GCD(2, 691) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 880, 918, 691, 738 is 1

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1. What is the GCD of 880, 918, 691, 738?

GCD of 880, 918, 691, 738 is 1

2. Where do I get the detailed procedure to find GCD of 880, 918, 691, 738?

You can find a detailed procedure to find GCD of 880, 918, 691, 738 on our page.

3. How to find GCD of 880, 918, 691, 738 on a calculator?

You can find the GCD of 880, 918, 691, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.