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GCD of 765, 442, 924 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, 442, 924 quickly. Get the easiest ways to solve the greatest common divisor of 765, 442, 924 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 765, 442, 924 with Factoring?

Given Input numbers are 765, 442, 924

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 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924


GCD of numbers is the greatest common divisor

So, the GCD (765, 442, 924) = 1.

Find GCD of 765, 442, 924 using Prime Factorization

Given numbers are 765, 442, 924

The list of prime factors of all numbers are

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

Prime factors of 442 are 2 x 13 x 17

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

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

Steps to Calculate GCD of 765, 442, 924 using LCM Formula

Given numbers are 765, 442, 924

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

Apply this formula for all numbers.

Step1:

LCM(765, 442) = 19890

GCD(765, 442) = ( 765 x 442 ) / 19890

= 765 / 442

= 765


Step2:

LCM(17, 924) = 15708

GCD(17, 924) = ( 17 x 924 ) / 15708

= 17 / 924

= 17


So, Greatest Common Divisor of 765, 442, 924 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 765, 442, 924

Given numbers are 765, 442, 924
The greatest common divisor of numbers 765, 442, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 442, 924 is 1.

FAQs on GCD of 765, 442, 924 Calculator

1. What is the GCD of 765, 442, 924?

GCD of given numbers 765, 442, 924 is 1


2. How to calculate the greatest common divisor of 765, 442, 924?

We can find the highest common divisor of 765, 442, 924 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, 442, 924 i.e 1.


3. How can I use the GCD of 765, 442, 924Calculator?

Out the numbers 765, 442, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.