GCD of 322, 948, 932, 472 Calculator

Given Input numbers are 322, 948, 932, 472

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

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 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Greatest Common Divisior

We found the divisors of 322, 948, 932, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 948, 932, 472 is 2.

Therefore, GCD of numbers 322, 948, 932, 472 is 2

Given Input Data is 322, 948, 932, 472

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 932 is 2 x 2 x 233

Prime Factorization of 472 is 2 x 2 x 2 x 59

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(322, 948) = 152628

GCD(322, 948) = ( 322 x 948 ) / 152628

GCD(322, 948) = 305256 / 152628

GCD(322, 948) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 932

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

LCM(2, 932) = 932

GCD(2, 932) = ( 2 x 932 ) / 932

GCD(2, 932) = 1864 / 932

GCD(2, 932) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 472

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

LCM(2, 472) = 472

GCD(2, 472) = ( 2 x 472 ) / 472

GCD(2, 472) = 944 / 472

GCD(2, 472) = 2

GCD of 322, 948, 932, 472 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 585, 276, 926, 837
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• GCD of 473, 320, 398, 724
• GCD of 606, 936, 578, 691

1. What is the GCD of 322, 948, 932, 472?

GCD of 322, 948, 932, 472 is 2

2. Where do I get the detailed procedure to find GCD of 322, 948, 932, 472?

You can find a detailed procedure to find GCD of 322, 948, 932, 472 on our page.

3. How to find GCD of 322, 948, 932, 472 on a calculator?

You can find the GCD of 322, 948, 932, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.