GCD of 348, 590, 10, 955 Calculator

Given Input numbers are 348, 590, 10, 955

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

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Greatest Common Divisior

We found the divisors of 348, 590, 10, 955 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 590, 10, 955 is 1.

Therefore, GCD of numbers 348, 590, 10, 955 is 1

Given Input Data is 348, 590, 10, 955

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 10 is 2 x 5

Prime Factorization of 955 is 5 x 191

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(348, 590) = 102660

GCD(348, 590) = ( 348 x 590 ) / 102660

GCD(348, 590) = 205320 / 102660

GCD(348, 590) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 955

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

LCM(2, 955) = 1910

GCD(2, 955) = ( 2 x 955 ) / 1910

GCD(2, 955) = 1910 / 1910

GCD(2, 955) = 1

GCD of 348, 590, 10, 955 is 1

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• GCD of 779, 893, 22, 437
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1. What is the GCD of 348, 590, 10, 955?

GCD of 348, 590, 10, 955 is 1

2. Where do I get the detailed procedure to find GCD of 348, 590, 10, 955?

You can find a detailed procedure to find GCD of 348, 590, 10, 955 on our page.

3. How to find GCD of 348, 590, 10, 955 on a calculator?

You can find the GCD of 348, 590, 10, 955 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.