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GCD of 765, 655, 585, 906 Calculator

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


Online GCD Calculator is useful to find the GCD of 765, 655, 585, 906 quickly. Get the easiest ways to solve the greatest common divisor of 765, 655, 585, 906 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 765, 655, 585, 906 with Factoring?

Given Input numbers are 765, 655, 585, 906

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

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 655 :

The positive integer divisors of 655 that completely divides 655 are.

1, 5, 131, 655

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906


GCD of numbers is the greatest common divisor

So, the GCD (765, 655, 585, 906) = 1.

Find GCD of 765, 655, 585, 906 using Prime Factorization

Given numbers are 765, 655, 585, 906

The list of prime factors of all numbers are

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 655 are 5 x 131

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 906 are 2 x 3 x 151

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

Steps to Calculate GCD of 765, 655, 585, 906 using LCM Formula

Given numbers are 765, 655, 585, 906

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

Apply this formula for all numbers.

Step1:

LCM(765, 655) = 100215

GCD(765, 655) = ( 765 x 655 ) / 100215

= 765 / 655

= 765


Step2:

LCM(5, 585) = 585

GCD(5, 585) = ( 5 x 585 ) / 585

= 5 / 585

= 5


Step3:

LCM(5, 906) = 4530

GCD(5, 906) = ( 5 x 906 ) / 4530

= 5 / 906

= 5


So, Greatest Common Divisor of 765, 655, 585, 906 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 765, 655, 585, 906

Given numbers are 765, 655, 585, 906
The greatest common divisor of numbers 765, 655, 585, 906 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 655, 585, 906 is 1.

FAQs on GCD of 765, 655, 585, 906 Calculator

1. What is the GCD of 765, 655, 585, 906?

GCD of given numbers 765, 655, 585, 906 is 1


2. How to calculate the greatest common divisor of 765, 655, 585, 906?

We can find the highest common divisor of 765, 655, 585, 906 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 765, 655, 585, 906 i.e 1.


3. How can I use the GCD of 765, 655, 585, 906Calculator?

Out the numbers 765, 655, 585, 906 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.