GCD of 952, 590, 551, 391 Calculator

Given Input numbers are 952, 590, 551, 391

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 590

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

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

Divisors of 551

List of positive integer divisors of 551 that divides 551 without a remainder.

1, 19, 29, 551

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Greatest Common Divisior

We found the divisors of 952, 590, 551, 391 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 590, 551, 391 is 1.

Therefore, GCD of numbers 952, 590, 551, 391 is 1

Given Input Data is 952, 590, 551, 391

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 590 is 2 x 5 x 59

Prime Factorization of 551 is 19 x 29

Prime Factorization of 391 is 17 x 23

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(952, 590) = 280840

GCD(952, 590) = ( 952 x 590 ) / 280840

GCD(952, 590) = 561680 / 280840

GCD(952, 590) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 551

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

LCM(2, 551) = 1102

GCD(2, 551) = ( 2 x 551 ) / 1102

GCD(2, 551) = 1102 / 1102

GCD(2, 551) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 391

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

LCM(1, 391) = 391

GCD(1, 391) = ( 1 x 391 ) / 391

GCD(1, 391) = 391 / 391

GCD(1, 391) = 1

GCD of 952, 590, 551, 391 is 1

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1. What is the GCD of 952, 590, 551, 391?

GCD of 952, 590, 551, 391 is 1

2. Where do I get the detailed procedure to find GCD of 952, 590, 551, 391?

You can find a detailed procedure to find GCD of 952, 590, 551, 391 on our page.

3. How to find GCD of 952, 590, 551, 391 on a calculator?

You can find the GCD of 952, 590, 551, 391 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.