GCD of 765, 942, 87, 928 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 765, 942, 87, 928 i.e. 1 largest integer that divides all the numbers equally.

GCD of 765, 942, 87, 928 is 1

GCD(765, 942, 87, 928) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 765, 942, 87, 928 is 1

GCD(765, 942, 87, 928) = 1

GCD of 765,942,87,928 Calculator

GCDof 765,942,87,928 is 1

Given Input numbers are 765, 942, 87, 928

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

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

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Greatest Common Divisior

We found the divisors of 765, 942, 87, 928 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 942, 87, 928 is 1.

Therefore, GCD of numbers 765, 942, 87, 928 is 1

Finding GCD of 765, 942, 87, 928 using Prime Factorization

Given Input Data is 765, 942, 87, 928

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 87 is 3 x 29

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

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

Finding GCD of 765, 942, 87, 928 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

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

LCM(765, 942) = 240210

GCD(765, 942) = ( 765 x 942 ) / 240210

GCD(765, 942) = 720630 / 240210

GCD(765, 942) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 87

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

LCM(3, 87) = 87

GCD(3, 87) = ( 3 x 87 ) / 87

GCD(3, 87) = 261 / 87

GCD(3, 87) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 928

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

LCM(3, 928) = 2784

GCD(3, 928) = ( 3 x 928 ) / 2784

GCD(3, 928) = 2784 / 2784

GCD(3, 928) = 1

GCD of 765, 942, 87, 928 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 765, 942, 87, 928

1. What is the GCD of 765, 942, 87, 928?

GCD of 765, 942, 87, 928 is 1


2. Where do I get the detailed procedure to find GCD of 765, 942, 87, 928?

You can find a detailed procedure to find GCD of 765, 942, 87, 928 on our page.


3. How to find GCD of 765, 942, 87, 928 on a calculator?

You can find the GCD of 765, 942, 87, 928 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.