GCD of 660, 927, 59, 748 Calculator

Given Input numbers are 660, 927, 59, 748

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

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 660, 927, 59, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 927, 59, 748 is 1.

Therefore, GCD of numbers 660, 927, 59, 748 is 1

Given Input Data is 660, 927, 59, 748

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

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 927 is 3 x 3 x 103

Prime Factorization of 59 is 59

Prime Factorization of 748 is 2 x 2 x 11 x 17

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(660, 927) = 203940

GCD(660, 927) = ( 660 x 927 ) / 203940

GCD(660, 927) = 611820 / 203940

GCD(660, 927) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 59

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

LCM(3, 59) = 177

GCD(3, 59) = ( 3 x 59 ) / 177

GCD(3, 59) = 177 / 177

GCD(3, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 660, 927, 59, 748 is 1

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1. What is the GCD of 660, 927, 59, 748?

GCD of 660, 927, 59, 748 is 1

2. Where do I get the detailed procedure to find GCD of 660, 927, 59, 748?

You can find a detailed procedure to find GCD of 660, 927, 59, 748 on our page.

3. How to find GCD of 660, 927, 59, 748 on a calculator?

You can find the GCD of 660, 927, 59, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.