GCD of 832, 675, 575, 314 Calculator

Given Input numbers are 832, 675, 575, 314

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

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

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 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 832, 675, 575, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 675, 575, 314 is 1.

Therefore, GCD of numbers 832, 675, 575, 314 is 1

Given Input Data is 832, 675, 575, 314

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

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

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

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 314 is 2 x 157

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(832, 675) = 561600

GCD(832, 675) = ( 832 x 675 ) / 561600

GCD(832, 675) = 561600 / 561600

GCD(832, 675) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 575

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

LCM(1, 575) = 575

GCD(1, 575) = ( 1 x 575 ) / 575

GCD(1, 575) = 575 / 575

GCD(1, 575) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

GCD of 832, 675, 575, 314 is 1

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• GCD of 632, 222, 802, 223
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1. What is the GCD of 832, 675, 575, 314?

GCD of 832, 675, 575, 314 is 1

2. Where do I get the detailed procedure to find GCD of 832, 675, 575, 314?

You can find a detailed procedure to find GCD of 832, 675, 575, 314 on our page.

3. How to find GCD of 832, 675, 575, 314 on a calculator?

You can find the GCD of 832, 675, 575, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.