GCD of 496, 925, 643, 408 Calculator

Given Input numbers are 496, 925, 643, 408

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

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

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 496, 925, 643, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 925, 643, 408 is 1.

Therefore, GCD of numbers 496, 925, 643, 408 is 1

Given Input Data is 496, 925, 643, 408

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

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 643 is 643

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

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(496, 925) = 458800

GCD(496, 925) = ( 496 x 925 ) / 458800

GCD(496, 925) = 458800 / 458800

GCD(496, 925) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 643

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

LCM(1, 643) = 643

GCD(1, 643) = ( 1 x 643 ) / 643

GCD(1, 643) = 643 / 643

GCD(1, 643) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

GCD of 496, 925, 643, 408 is 1

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1. What is the GCD of 496, 925, 643, 408?

GCD of 496, 925, 643, 408 is 1

2. Where do I get the detailed procedure to find GCD of 496, 925, 643, 408?

You can find a detailed procedure to find GCD of 496, 925, 643, 408 on our page.

3. How to find GCD of 496, 925, 643, 408 on a calculator?

You can find the GCD of 496, 925, 643, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.