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GCD of 580, 618, 164, 768 Calculator

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


Online GCD Calculator is useful to find the GCD of 580, 618, 164, 768 quickly. Get the easiest ways to solve the greatest common divisor of 580, 618, 164, 768 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 580, 618, 164, 768 with Factoring?

Given Input numbers are 580, 618, 164, 768

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

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768


GCD of numbers is the greatest common divisor

So, the GCD (580, 618, 164, 768) = 2.

Find GCD of 580, 618, 164, 768 using Prime Factorization

Given numbers are 580, 618, 164, 768

The list of prime factors of all numbers are

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 618 are 2 x 3 x 103

Prime factors of 164 are 2 x 2 x 41

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 21

Therefore, GCD of 580, 618, 164, 768 is 2.

Steps to Calculate GCD of 580, 618, 164, 768 using LCM Formula

Given numbers are 580, 618, 164, 768

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

Apply this formula for all numbers.

Step1:

LCM(580, 618) = 179220

GCD(580, 618) = ( 580 x 618 ) / 179220

= 580 / 618

= 580


Step2:

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

= 2 / 164

= 2


Step3:

LCM(2, 768) = 768

GCD(2, 768) = ( 2 x 768 ) / 768

= 2 / 768

= 2


So, Greatest Common Divisor of 580, 618, 164, 768 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 580, 618, 164, 768

Given numbers are 580, 618, 164, 768
The greatest common divisor of numbers 580, 618, 164, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 580, 618, 164, 768 is 2.

FAQs on GCD of 580, 618, 164, 768 Calculator

1. What is the GCD of 580, 618, 164, 768?

GCD of given numbers 580, 618, 164, 768 is 2


2. How to calculate the greatest common divisor of 580, 618, 164, 768?

We can find the highest common divisor of 580, 618, 164, 768 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 580, 618, 164, 768 i.e 2.


3. How can I use the GCD of 580, 618, 164, 768Calculator?

Out the numbers 580, 618, 164, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.