Where do I get the detailed procedure to find GCD of 590, 144, 77?

You can find a detailed procedure to find GCD of 590, 144, 77 on our page.

How to find GCD of 590, 144, 77 on a calculator?

You can find the GCD of 590, 144, 77 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 590, 144, 77 Calculator

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

Online GCD Calculator is useful to find the GCD of 590, 144, 77 quickly. Get the easiest ways to solve the greatest common divisor of 590, 144, 77 i.e 1 in different methods as follows.

How to Find GCD of Numbers 590, 144, 77 with Factoring?

Given Input numbers are 590, 144, 77

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

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 77 :

The positive integer divisors of 77 that completely divides 77 are.

1, 7, 11, 77

GCD of numbers is the greatest common divisor

So, the GCD (590, 144, 77) = 1.

Find GCD of 590, 144, 77 using Prime Factorization

Given numbers are 590, 144, 77

The list of prime factors of all numbers are

Prime factors of 590 are 2 x 5 x 59

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 77 are 7 x 11

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

Steps to Calculate GCD of 590, 144, 77 using LCM Formula

Given numbers are 590, 144, 77

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

Apply this formula for all numbers.

Step1:

LCM(590, 144) = 42480

GCD(590, 144) = ( 590 x 144 ) / 42480

= 590 / 144

= 590

Step2:

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

= 2 / 77

= 2

So, Greatest Common Divisor of 590, 144, 77 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 590, 144, 77

Given numbers are 590, 144, 77
The greatest common divisor of numbers 590, 144, 77 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 590, 144, 77 is 1.

FAQs on GCD of 590, 144, 77 Calculator

1. What is the GCD of 590, 144, 77?

GCD of given numbers 590, 144, 77 is 1

2. How to calculate the greatest common divisor of 590, 144, 77?

We can find the highest common divisor of 590, 144, 77 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 590, 144, 77 i.e 1.

3. How can I use the GCD of 590, 144, 77Calculator?

Out the numbers 590, 144, 77 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.