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GCD of 600, 464, 421, 923 Calculator

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


Online GCD Calculator is useful to find the GCD of 600, 464, 421, 923 quickly. Get the easiest ways to solve the greatest common divisor of 600, 464, 421, 923 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 600, 464, 421, 923 with Factoring?

Given Input numbers are 600, 464, 421, 923

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

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

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

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

Divisors of 923 :

The positive integer divisors of 923 that completely divides 923 are.

1, 13, 71, 923


GCD of numbers is the greatest common divisor

So, the GCD (600, 464, 421, 923) = 1.

Find GCD of 600, 464, 421, 923 using Prime Factorization

Given numbers are 600, 464, 421, 923

The list of prime factors of all numbers are

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 421 are 421

Prime factors of 923 are 13 x 71

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

Steps to Calculate GCD of 600, 464, 421, 923 using LCM Formula

Given numbers are 600, 464, 421, 923

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

Apply this formula for all numbers.

Step1:

LCM(600, 464) = 34800

GCD(600, 464) = ( 600 x 464 ) / 34800

= 600 / 464

= 600


Step2:

LCM(8, 421) = 3368

GCD(8, 421) = ( 8 x 421 ) / 3368

= 8 / 421

= 8


Step3:

LCM(1, 923) = 923

GCD(1, 923) = ( 1 x 923 ) / 923

= 1 / 923

= 1


So, Greatest Common Divisor of 600, 464, 421, 923 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 600, 464, 421, 923

Given numbers are 600, 464, 421, 923
The greatest common divisor of numbers 600, 464, 421, 923 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 464, 421, 923 is 1.

FAQs on GCD of 600, 464, 421, 923 Calculator

1. What is the GCD of 600, 464, 421, 923?

GCD of given numbers 600, 464, 421, 923 is 1


2. How to calculate the greatest common divisor of 600, 464, 421, 923?

We can find the highest common divisor of 600, 464, 421, 923 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 600, 464, 421, 923 i.e 1.


3. How can I use the GCD of 600, 464, 421, 923Calculator?

Out the numbers 600, 464, 421, 923 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.