GCD of 526, 942, 20, 418 Calculator

Given Input numbers are 526, 942, 20, 418

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

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 418

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

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

Greatest Common Divisior

We found the divisors of 526, 942, 20, 418 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 526, 942, 20, 418 is 2.

Therefore, GCD of numbers 526, 942, 20, 418 is 2

Given Input Data is 526, 942, 20, 418

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

Prime Factorization of 526 is 2 x 263

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 418 is 2 x 11 x 19

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(526, 942) = 247746

GCD(526, 942) = ( 526 x 942 ) / 247746

GCD(526, 942) = 495492 / 247746

GCD(526, 942) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 418

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

LCM(2, 418) = 418

GCD(2, 418) = ( 2 x 418 ) / 418

GCD(2, 418) = 836 / 418

GCD(2, 418) = 2

GCD of 526, 942, 20, 418 is 2

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1. What is the GCD of 526, 942, 20, 418?

GCD of 526, 942, 20, 418 is 2

2. Where do I get the detailed procedure to find GCD of 526, 942, 20, 418?

You can find a detailed procedure to find GCD of 526, 942, 20, 418 on our page.

3. How to find GCD of 526, 942, 20, 418 on a calculator?

You can find the GCD of 526, 942, 20, 418 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.