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GCD of 804, 645, 660, 772 Calculator

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


Online GCD Calculator is useful to find the GCD of 804, 645, 660, 772 quickly. Get the easiest ways to solve the greatest common divisor of 804, 645, 660, 772 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 804, 645, 660, 772 with Factoring?

Given Input numbers are 804, 645, 660, 772

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

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772


GCD of numbers is the greatest common divisor

So, the GCD (804, 645, 660, 772) = 1.

Find GCD of 804, 645, 660, 772 using Prime Factorization

Given numbers are 804, 645, 660, 772

The list of prime factors of all numbers are

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 645 are 3 x 5 x 43

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 772 are 2 x 2 x 193

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

Steps to Calculate GCD of 804, 645, 660, 772 using LCM Formula

Given numbers are 804, 645, 660, 772

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

Apply this formula for all numbers.

Step1:

LCM(804, 645) = 172860

GCD(804, 645) = ( 804 x 645 ) / 172860

= 804 / 645

= 804


Step2:

LCM(3, 660) = 660

GCD(3, 660) = ( 3 x 660 ) / 660

= 3 / 660

= 3


Step3:

LCM(3, 772) = 2316

GCD(3, 772) = ( 3 x 772 ) / 2316

= 3 / 772

= 3


So, Greatest Common Divisor of 804, 645, 660, 772 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 804, 645, 660, 772

Given numbers are 804, 645, 660, 772
The greatest common divisor of numbers 804, 645, 660, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 804, 645, 660, 772 is 1.

FAQs on GCD of 804, 645, 660, 772 Calculator

1. What is the GCD of 804, 645, 660, 772?

GCD of given numbers 804, 645, 660, 772 is 1


2. How to calculate the greatest common divisor of 804, 645, 660, 772?

We can find the highest common divisor of 804, 645, 660, 772 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 804, 645, 660, 772 i.e 1.


3. How can I use the GCD of 804, 645, 660, 772Calculator?

Out the numbers 804, 645, 660, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.