GCD of 952, 322, 58, 814 Calculator

Given Input numbers are 952, 322, 58, 814

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

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 952, 322, 58, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 322, 58, 814 is 2.

Therefore, GCD of numbers 952, 322, 58, 814 is 2

Given Input Data is 952, 322, 58, 814

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

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 58 is 2 x 29

Prime Factorization of 814 is 2 x 11 x 37

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(952, 322) = 21896

GCD(952, 322) = ( 952 x 322 ) / 21896

GCD(952, 322) = 306544 / 21896

GCD(952, 322) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 58

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

LCM(14, 58) = 406

GCD(14, 58) = ( 14 x 58 ) / 406

GCD(14, 58) = 812 / 406

GCD(14, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 814

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

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

GCD(2, 814) = 1628 / 814

GCD(2, 814) = 2

GCD of 952, 322, 58, 814 is 2

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• GCD of 500, 567, 63, 650
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1. What is the GCD of 952, 322, 58, 814?

GCD of 952, 322, 58, 814 is 2

2. Where do I get the detailed procedure to find GCD of 952, 322, 58, 814?

You can find a detailed procedure to find GCD of 952, 322, 58, 814 on our page.

3. How to find GCD of 952, 322, 58, 814 on a calculator?

You can find the GCD of 952, 322, 58, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.