GCD of 34, 952, 572, 416 Calculator

Given Input numbers are 34, 952, 572, 416

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

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 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Greatest Common Divisior

We found the divisors of 34, 952, 572, 416 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 952, 572, 416 is 2.

Therefore, GCD of numbers 34, 952, 572, 416 is 2

Given Input Data is 34, 952, 572, 416

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

Prime Factorization of 34 is 2 x 17

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

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

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(34, 952) = 952

GCD(34, 952) = ( 34 x 952 ) / 952

GCD(34, 952) = 32368 / 952

GCD(34, 952) = 34

Step2:

Here we consider the GCD from the above i.e. 34 as first number and the next as 572

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

LCM(34, 572) = 9724

GCD(34, 572) = ( 34 x 572 ) / 9724

GCD(34, 572) = 19448 / 9724

GCD(34, 572) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 416

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

LCM(2, 416) = 416

GCD(2, 416) = ( 2 x 416 ) / 416

GCD(2, 416) = 832 / 416

GCD(2, 416) = 2

GCD of 34, 952, 572, 416 is 2

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1. What is the GCD of 34, 952, 572, 416?

GCD of 34, 952, 572, 416 is 2

2. Where do I get the detailed procedure to find GCD of 34, 952, 572, 416?

You can find a detailed procedure to find GCD of 34, 952, 572, 416 on our page.

3. How to find GCD of 34, 952, 572, 416 on a calculator?

You can find the GCD of 34, 952, 572, 416 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.