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GCD of 575, 400, 644, 363 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 575, 400, 644, 363 quickly. Get the easiest ways to solve the greatest common divisor of 575, 400, 644, 363 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 575, 400, 644, 363 with Factoring?

Given Input numbers are 575, 400, 644, 363

In the factoring method, we have to find the divisors of all numbers

Divisors of 575 :

The positive integer divisors of 575 that completely divides 575 are.

1, 5, 23, 25, 115, 575

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

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

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363


GCD of numbers is the greatest common divisor

So, the GCD (575, 400, 644, 363) = 1.

Find GCD of 575, 400, 644, 363 using Prime Factorization

Given numbers are 575, 400, 644, 363

The list of prime factors of all numbers are

Prime factors of 575 are 5 x 5 x 23

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 363 are 3 x 11 x 11

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

Steps to Calculate GCD of 575, 400, 644, 363 using LCM Formula

Given numbers are 575, 400, 644, 363

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(575, 400) = 9200

GCD(575, 400) = ( 575 x 400 ) / 9200

= 575 / 400

= 575


Step2:

LCM(25, 644) = 16100

GCD(25, 644) = ( 25 x 644 ) / 16100

= 25 / 644

= 25


Step3:

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

= 1 / 363

= 1


So, Greatest Common Divisor of 575, 400, 644, 363 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 575, 400, 644, 363

Given numbers are 575, 400, 644, 363
The greatest common divisor of numbers 575, 400, 644, 363 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 575, 400, 644, 363 is 1.

FAQs on GCD of 575, 400, 644, 363 Calculator

1. What is the GCD of 575, 400, 644, 363?

GCD of given numbers 575, 400, 644, 363 is 1


2. How to calculate the greatest common divisor of 575, 400, 644, 363?

We can find the highest common divisor of 575, 400, 644, 363 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 575, 400, 644, 363 i.e 1.


3. How can I use the GCD of 575, 400, 644, 363Calculator?

Out the numbers 575, 400, 644, 363 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.