GCD of 340, 900, 952, 571 Calculator

Given Input numbers are 340, 900, 952, 571

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

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 571

List of positive integer divisors of 571 that divides 571 without a remainder.

1, 571

Greatest Common Divisior

We found the divisors of 340, 900, 952, 571 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 900, 952, 571 is 1.

Therefore, GCD of numbers 340, 900, 952, 571 is 1

Given Input Data is 340, 900, 952, 571

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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

Prime Factorization of 571 is 571

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(340, 900) = 15300

GCD(340, 900) = ( 340 x 900 ) / 15300

GCD(340, 900) = 306000 / 15300

GCD(340, 900) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 952

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

LCM(20, 952) = 4760

GCD(20, 952) = ( 20 x 952 ) / 4760

GCD(20, 952) = 19040 / 4760

GCD(20, 952) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 571

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

LCM(4, 571) = 2284

GCD(4, 571) = ( 4 x 571 ) / 2284

GCD(4, 571) = 2284 / 2284

GCD(4, 571) = 1

GCD of 340, 900, 952, 571 is 1

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• GCD of 272, 836, 873, 540
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1. What is the GCD of 340, 900, 952, 571?

GCD of 340, 900, 952, 571 is 1

2. Where do I get the detailed procedure to find GCD of 340, 900, 952, 571?

You can find a detailed procedure to find GCD of 340, 900, 952, 571 on our page.

3. How to find GCD of 340, 900, 952, 571 on a calculator?

You can find the GCD of 340, 900, 952, 571 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.