GCD of 470, 832, 70, 396 Calculator

Given Input numbers are 470, 832, 70, 396

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

Divisors of 470

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

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

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Greatest Common Divisior

We found the divisors of 470, 832, 70, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 832, 70, 396 is 2.

Therefore, GCD of numbers 470, 832, 70, 396 is 2

Given Input Data is 470, 832, 70, 396

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

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(470, 832) = 195520

GCD(470, 832) = ( 470 x 832 ) / 195520

GCD(470, 832) = 391040 / 195520

GCD(470, 832) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 70

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

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

GCD(2, 70) = 140 / 70

GCD(2, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 396

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

LCM(2, 396) = 396

GCD(2, 396) = ( 2 x 396 ) / 396

GCD(2, 396) = 792 / 396

GCD(2, 396) = 2

GCD of 470, 832, 70, 396 is 2

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• GCD of 731, 798, 42, 132
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1. What is the GCD of 470, 832, 70, 396?

GCD of 470, 832, 70, 396 is 2

2. Where do I get the detailed procedure to find GCD of 470, 832, 70, 396?

You can find a detailed procedure to find GCD of 470, 832, 70, 396 on our page.

3. How to find GCD of 470, 832, 70, 396 on a calculator?

You can find the GCD of 470, 832, 70, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.