GCD of 675, 828, 85, 747 Calculator

Given Input numbers are 675, 828, 85, 747

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 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 675, 828, 85, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 828, 85, 747 is 1.

Therefore, GCD of numbers 675, 828, 85, 747 is 1

Given Input Data is 675, 828, 85, 747

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 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 85 is 5 x 17

Prime Factorization of 747 is 3 x 3 x 83

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, 828) = 62100

GCD(675, 828) = ( 675 x 828 ) / 62100

GCD(675, 828) = 558900 / 62100

GCD(675, 828) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 85

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

LCM(9, 85) = 765

GCD(9, 85) = ( 9 x 85 ) / 765

GCD(9, 85) = 765 / 765

GCD(9, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 747

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

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

GCD(1, 747) = 747 / 747

GCD(1, 747) = 1

GCD of 675, 828, 85, 747 is 1

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• GCD of 221, 291, 49, 456
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1. What is the GCD of 675, 828, 85, 747?

GCD of 675, 828, 85, 747 is 1

2. Where do I get the detailed procedure to find GCD of 675, 828, 85, 747?

You can find a detailed procedure to find GCD of 675, 828, 85, 747 on our page.

3. How to find GCD of 675, 828, 85, 747 on a calculator?

You can find the GCD of 675, 828, 85, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.