GCD of 634, 464, 70, 408 Calculator

Given Input numbers are 634, 464, 70, 408

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

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

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 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 634, 464, 70, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 634, 464, 70, 408 is 2.

Therefore, GCD of numbers 634, 464, 70, 408 is 2

Given Input Data is 634, 464, 70, 408

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

Prime Factorization of 634 is 2 x 317

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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(634, 464) = 147088

GCD(634, 464) = ( 634 x 464 ) / 147088

GCD(634, 464) = 294176 / 147088

GCD(634, 464) = 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 408

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

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

GCD(2, 408) = 816 / 408

GCD(2, 408) = 2

GCD of 634, 464, 70, 408 is 2

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• GCD of 179, 235, 68, 704
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1. What is the GCD of 634, 464, 70, 408?

GCD of 634, 464, 70, 408 is 2

2. Where do I get the detailed procedure to find GCD of 634, 464, 70, 408?

You can find a detailed procedure to find GCD of 634, 464, 70, 408 on our page.

3. How to find GCD of 634, 464, 70, 408 on a calculator?

You can find the GCD of 634, 464, 70, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.