Where do I get the detailed procedure to find GCD of 464, 564, 600?

You can find a detailed procedure to find GCD of 464, 564, 600 on our page.

How to find GCD of 464, 564, 600 on a calculator?

You can find the GCD of 464, 564, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 464, 564, 600 Calculator

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

Online GCD Calculator is useful to find the GCD of 464, 564, 600 quickly. Get the easiest ways to solve the greatest common divisor of 464, 564, 600 i.e 4 in different methods as follows.

How to Find GCD of Numbers 464, 564, 600 with Factoring?

Given Input numbers are 464, 564, 600

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

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 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

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

GCD of numbers is the greatest common divisor

So, the GCD (464, 564, 600) = 4.

Find GCD of 464, 564, 600 using Prime Factorization

Given numbers are 464, 564, 600

The list of prime factors of all numbers are

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

Prime factors of 564 are 2 x 2 x 3 x 47

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

The highest common occurrence is 2²

Therefore, GCD of 464, 564, 600 is 4.

Steps to Calculate GCD of 464, 564, 600 using LCM Formula

Given numbers are 464, 564, 600

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

Apply this formula for all numbers.

Step1:

LCM(464, 564) = 65424

GCD(464, 564) = ( 464 x 564 ) / 65424

= 464 / 564

= 464

Step2:

LCM(4, 600) = 600

GCD(4, 600) = ( 4 x 600 ) / 600

= 4 / 600

= 4

So, Greatest Common Divisor of 464, 564, 600 is 4

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 464, 564, 600

Given numbers are 464, 564, 600
The greatest common divisor of numbers 464, 564, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 564, 600 is 4.

FAQs on GCD of 464, 564, 600 Calculator

1. What is the GCD of 464, 564, 600?

GCD of given numbers 464, 564, 600 is 4

2. How to calculate the greatest common divisor of 464, 564, 600?

We can find the highest common divisor of 464, 564, 600 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 464, 564, 600 i.e 4.

3. How can I use the GCD of 464, 564, 600Calculator?

Out the numbers 464, 564, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.