GCD of 385, 675, 286, 892 Calculator

Given Input numbers are 385, 675, 286, 892

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

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

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 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Greatest Common Divisior

We found the divisors of 385, 675, 286, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 385, 675, 286, 892 is 1.

Therefore, GCD of numbers 385, 675, 286, 892 is 1

Given Input Data is 385, 675, 286, 892

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

Prime Factorization of 385 is 5 x 7 x 11

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

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 892 is 2 x 2 x 223

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(385, 675) = 51975

GCD(385, 675) = ( 385 x 675 ) / 51975

GCD(385, 675) = 259875 / 51975

GCD(385, 675) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 286

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

LCM(5, 286) = 1430

GCD(5, 286) = ( 5 x 286 ) / 1430

GCD(5, 286) = 1430 / 1430

GCD(5, 286) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 892

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

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

GCD(1, 892) = 892 / 892

GCD(1, 892) = 1

GCD of 385, 675, 286, 892 is 1

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1. What is the GCD of 385, 675, 286, 892?

GCD of 385, 675, 286, 892 is 1

2. Where do I get the detailed procedure to find GCD of 385, 675, 286, 892?

You can find a detailed procedure to find GCD of 385, 675, 286, 892 on our page.

3. How to find GCD of 385, 675, 286, 892 on a calculator?

You can find the GCD of 385, 675, 286, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.