GCD of 560, 418, 32, 962 Calculator

Given Input numbers are 560, 418, 32, 962

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

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Greatest Common Divisior

We found the divisors of 560, 418, 32, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 418, 32, 962 is 2.

Therefore, GCD of numbers 560, 418, 32, 962 is 2

Given Input Data is 560, 418, 32, 962

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

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 962 is 2 x 13 x 37

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(560, 418) = 117040

GCD(560, 418) = ( 560 x 418 ) / 117040

GCD(560, 418) = 234080 / 117040

GCD(560, 418) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 32

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

LCM(2, 32) = 32

GCD(2, 32) = ( 2 x 32 ) / 32

GCD(2, 32) = 64 / 32

GCD(2, 32) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 962

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

LCM(2, 962) = 962

GCD(2, 962) = ( 2 x 962 ) / 962

GCD(2, 962) = 1924 / 962

GCD(2, 962) = 2

GCD of 560, 418, 32, 962 is 2

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1. What is the GCD of 560, 418, 32, 962?

GCD of 560, 418, 32, 962 is 2

2. Where do I get the detailed procedure to find GCD of 560, 418, 32, 962?

You can find a detailed procedure to find GCD of 560, 418, 32, 962 on our page.

3. How to find GCD of 560, 418, 32, 962 on a calculator?

You can find the GCD of 560, 418, 32, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.