GCD of 435, 704, 407, 828 Calculator

Given Input numbers are 435, 704, 407, 828

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

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 435, 704, 407, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 435, 704, 407, 828 is 1.

Therefore, GCD of numbers 435, 704, 407, 828 is 1

Given Input Data is 435, 704, 407, 828

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

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 407 is 11 x 37

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

The above numbers do not have any common prime factor. So GCD is 1

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(435, 704) = 306240

GCD(435, 704) = ( 435 x 704 ) / 306240

GCD(435, 704) = 306240 / 306240

GCD(435, 704) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 407

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

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

GCD(1, 407) = 407 / 407

GCD(1, 407) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 435, 704, 407, 828 is 1

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1. What is the GCD of 435, 704, 407, 828?

GCD of 435, 704, 407, 828 is 1

2. Where do I get the detailed procedure to find GCD of 435, 704, 407, 828?

You can find a detailed procedure to find GCD of 435, 704, 407, 828 on our page.

3. How to find GCD of 435, 704, 407, 828 on a calculator?

You can find the GCD of 435, 704, 407, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.