GCD of 276, 686, 75, 660 Calculator

Given Input numbers are 276, 686, 75, 660

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

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

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

Greatest Common Divisior

We found the divisors of 276, 686, 75, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 686, 75, 660 is 1.

Therefore, GCD of numbers 276, 686, 75, 660 is 1

Given Input Data is 276, 686, 75, 660

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

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 660 is 2 x 2 x 3 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(276, 686) = 94668

GCD(276, 686) = ( 276 x 686 ) / 94668

GCD(276, 686) = 189336 / 94668

GCD(276, 686) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 75

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

LCM(2, 75) = 150

GCD(2, 75) = ( 2 x 75 ) / 150

GCD(2, 75) = 150 / 150

GCD(2, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

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

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 1

GCD of 276, 686, 75, 660 is 1

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1. What is the GCD of 276, 686, 75, 660?

GCD of 276, 686, 75, 660 is 1

2. Where do I get the detailed procedure to find GCD of 276, 686, 75, 660?

You can find a detailed procedure to find GCD of 276, 686, 75, 660 on our page.

3. How to find GCD of 276, 686, 75, 660 on a calculator?

You can find the GCD of 276, 686, 75, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.