GCD of 340, 950, 564, 916 Calculator

Given Input numbers are 340, 950, 564, 916

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 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 340, 950, 564, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 950, 564, 916 is 2.

Therefore, GCD of numbers 340, 950, 564, 916 is 2

Given Input Data is 340, 950, 564, 916

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 950 is 2 x 5 x 5 x 19

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 916 is 2 x 2 x 229

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(340, 950) = 32300

GCD(340, 950) = ( 340 x 950 ) / 32300

GCD(340, 950) = 323000 / 32300

GCD(340, 950) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 564

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

LCM(10, 564) = 2820

GCD(10, 564) = ( 10 x 564 ) / 2820

GCD(10, 564) = 5640 / 2820

GCD(10, 564) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 916

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

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

GCD(2, 916) = 1832 / 916

GCD(2, 916) = 2

GCD of 340, 950, 564, 916 is 2

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1. What is the GCD of 340, 950, 564, 916?

GCD of 340, 950, 564, 916 is 2

2. Where do I get the detailed procedure to find GCD of 340, 950, 564, 916?

You can find a detailed procedure to find GCD of 340, 950, 564, 916 on our page.

3. How to find GCD of 340, 950, 564, 916 on a calculator?

You can find the GCD of 340, 950, 564, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.