GCD of 653, 664, 42, 400 Calculator

Given Input numbers are 653, 664, 42, 400

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

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 653, 664, 42, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 653, 664, 42, 400 is 1.

Therefore, GCD of numbers 653, 664, 42, 400 is 1

Given Input Data is 653, 664, 42, 400

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

Prime Factorization of 653 is 653

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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(653, 664) = 433592

GCD(653, 664) = ( 653 x 664 ) / 433592

GCD(653, 664) = 433592 / 433592

GCD(653, 664) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 653, 664, 42, 400 is 1

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1. What is the GCD of 653, 664, 42, 400?

GCD of 653, 664, 42, 400 is 1

2. Where do I get the detailed procedure to find GCD of 653, 664, 42, 400?

You can find a detailed procedure to find GCD of 653, 664, 42, 400 on our page.

3. How to find GCD of 653, 664, 42, 400 on a calculator?

You can find the GCD of 653, 664, 42, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.