GCD of 457, 334, 75, 812 Calculator

Given Input numbers are 457, 334, 75, 812

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

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 75

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

1, 3, 5, 15, 25, 75

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Greatest Common Divisior

We found the divisors of 457, 334, 75, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 457, 334, 75, 812 is 1.

Therefore, GCD of numbers 457, 334, 75, 812 is 1

Given Input Data is 457, 334, 75, 812

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

Prime Factorization of 457 is 457

Prime Factorization of 334 is 2 x 167

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 812 is 2 x 2 x 7 x 29

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(457, 334) = 152638

GCD(457, 334) = ( 457 x 334 ) / 152638

GCD(457, 334) = 152638 / 152638

GCD(457, 334) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 812

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

LCM(1, 812) = 812

GCD(1, 812) = ( 1 x 812 ) / 812

GCD(1, 812) = 812 / 812

GCD(1, 812) = 1

GCD of 457, 334, 75, 812 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 194, 891, 88, 615
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• GCD of 902, 684, 96, 944
• GCD of 940, 394, 34, 269
• GCD of 924, 267, 70, 314

1. What is the GCD of 457, 334, 75, 812?

GCD of 457, 334, 75, 812 is 1

2. Where do I get the detailed procedure to find GCD of 457, 334, 75, 812?

You can find a detailed procedure to find GCD of 457, 334, 75, 812 on our page.

3. How to find GCD of 457, 334, 75, 812 on a calculator?

You can find the GCD of 457, 334, 75, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.