GCD of 675, 766, 820, 308 Calculator

Given Input numbers are 675, 766, 820, 308

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 675, 766, 820, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 766, 820, 308 is 1.

Therefore, GCD of numbers 675, 766, 820, 308 is 1

Given Input Data is 675, 766, 820, 308

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 766 is 2 x 383

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 308 is 2 x 2 x 7 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(675, 766) = 517050

GCD(675, 766) = ( 675 x 766 ) / 517050

GCD(675, 766) = 517050 / 517050

GCD(675, 766) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

GCD of 675, 766, 820, 308 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 249, 837, 865, 880
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1. What is the GCD of 675, 766, 820, 308?

GCD of 675, 766, 820, 308 is 1

2. Where do I get the detailed procedure to find GCD of 675, 766, 820, 308?

You can find a detailed procedure to find GCD of 675, 766, 820, 308 on our page.

3. How to find GCD of 675, 766, 820, 308 on a calculator?

You can find the GCD of 675, 766, 820, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.