GCD of 526, 952, 22, 470 Calculator

Given Input numbers are 526, 952, 22, 470

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 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 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Greatest Common Divisior

We found the divisors of 526, 952, 22, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 526, 952, 22, 470 is 2.

Therefore, GCD of numbers 526, 952, 22, 470 is 2

Given Input Data is 526, 952, 22, 470

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

Prime Factorization of 526 is 2 x 263

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 470 is 2 x 5 x 47

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, 952) = 250376

GCD(526, 952) = ( 526 x 952 ) / 250376

GCD(526, 952) = 500752 / 250376

GCD(526, 952) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 22

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

LCM(2, 22) = 22

GCD(2, 22) = ( 2 x 22 ) / 22

GCD(2, 22) = 44 / 22

GCD(2, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 470

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

LCM(2, 470) = 470

GCD(2, 470) = ( 2 x 470 ) / 470

GCD(2, 470) = 940 / 470

GCD(2, 470) = 2

GCD of 526, 952, 22, 470 is 2

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1. What is the GCD of 526, 952, 22, 470?

GCD of 526, 952, 22, 470 is 2

2. Where do I get the detailed procedure to find GCD of 526, 952, 22, 470?

You can find a detailed procedure to find GCD of 526, 952, 22, 470 on our page.

3. How to find GCD of 526, 952, 22, 470 on a calculator?

You can find the GCD of 526, 952, 22, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.