GCD of 132, 319, 620, 344 Calculator

Given Input numbers are 132, 319, 620, 344

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

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 132, 319, 620, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 319, 620, 344 is 1.

Therefore, GCD of numbers 132, 319, 620, 344 is 1

Given Input Data is 132, 319, 620, 344

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

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 319 is 11 x 29

Prime Factorization of 620 is 2 x 2 x 5 x 31

Prime Factorization of 344 is 2 x 2 x 2 x 43

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(132, 319) = 3828

GCD(132, 319) = ( 132 x 319 ) / 3828

GCD(132, 319) = 42108 / 3828

GCD(132, 319) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 620

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

LCM(11, 620) = 6820

GCD(11, 620) = ( 11 x 620 ) / 6820

GCD(11, 620) = 6820 / 6820

GCD(11, 620) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

GCD of 132, 319, 620, 344 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 866, 366, 841, 376
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• GCD of 344, 412, 565, 205
• GCD of 564, 900, 124, 818
• GCD of 759, 666, 546, 356

1. What is the GCD of 132, 319, 620, 344?

GCD of 132, 319, 620, 344 is 1

2. Where do I get the detailed procedure to find GCD of 132, 319, 620, 344?

You can find a detailed procedure to find GCD of 132, 319, 620, 344 on our page.

3. How to find GCD of 132, 319, 620, 344 on a calculator?

You can find the GCD of 132, 319, 620, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.