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GCD of 765, 892, 370, 365 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, 892, 370, 365 quickly. Get the easiest ways to solve the greatest common divisor of 765, 892, 370, 365 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 765, 892, 370, 365 with Factoring?

Given Input numbers are 765, 892, 370, 365

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 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365


GCD of numbers is the greatest common divisor

So, the GCD (765, 892, 370, 365) = 1.

Find GCD of 765, 892, 370, 365 using Prime Factorization

Given numbers are 765, 892, 370, 365

The list of prime factors of all numbers are

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

Prime factors of 892 are 2 x 2 x 223

Prime factors of 370 are 2 x 5 x 37

Prime factors of 365 are 5 x 73

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

Steps to Calculate GCD of 765, 892, 370, 365 using LCM Formula

Given numbers are 765, 892, 370, 365

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

Apply this formula for all numbers.

Step1:

LCM(765, 892) = 682380

GCD(765, 892) = ( 765 x 892 ) / 682380

= 765 / 892

= 765


Step2:

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

= 1 / 370

= 1


Step3:

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

= 1 / 365

= 1


So, Greatest Common Divisor of 765, 892, 370, 365 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 765, 892, 370, 365

Given numbers are 765, 892, 370, 365
The greatest common divisor of numbers 765, 892, 370, 365 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 892, 370, 365 is 1.

FAQs on GCD of 765, 892, 370, 365 Calculator

1. What is the GCD of 765, 892, 370, 365?

GCD of given numbers 765, 892, 370, 365 is 1


2. How to calculate the greatest common divisor of 765, 892, 370, 365?

We can find the highest common divisor of 765, 892, 370, 365 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, 892, 370, 365 i.e 1.


3. How can I use the GCD of 765, 892, 370, 365Calculator?

Out the numbers 765, 892, 370, 365 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.