GCD of 764, 984, 85, 707 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 764, 984, 85, 707 i.e. 1 largest integer that divides all the numbers equally.

GCD of 764, 984, 85, 707 is 1

GCD(764, 984, 85, 707) = 1

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

GCD of

GCD of numbers 764, 984, 85, 707 is 1

GCD(764, 984, 85, 707) = 1

GCD of 764,984,85,707 Calculator

GCDof 764,984,85,707 is 1

Given Input numbers are 764, 984, 85, 707

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

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Greatest Common Divisior

We found the divisors of 764, 984, 85, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 984, 85, 707 is 1.

Therefore, GCD of numbers 764, 984, 85, 707 is 1

Finding GCD of 764, 984, 85, 707 using Prime Factorization

Given Input Data is 764, 984, 85, 707

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

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 85 is 5 x 17

Prime Factorization of 707 is 7 x 101

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

Finding GCD of 764, 984, 85, 707 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(764, 984) = 187944

GCD(764, 984) = ( 764 x 984 ) / 187944

GCD(764, 984) = 751776 / 187944

GCD(764, 984) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 85

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

LCM(4, 85) = 340

GCD(4, 85) = ( 4 x 85 ) / 340

GCD(4, 85) = 340 / 340

GCD(4, 85) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 707

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

LCM(1, 707) = 707

GCD(1, 707) = ( 1 x 707 ) / 707

GCD(1, 707) = 707 / 707

GCD(1, 707) = 1

GCD of 764, 984, 85, 707 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 764, 984, 85, 707

1. What is the GCD of 764, 984, 85, 707?

GCD of 764, 984, 85, 707 is 1


2. Where do I get the detailed procedure to find GCD of 764, 984, 85, 707?

You can find a detailed procedure to find GCD of 764, 984, 85, 707 on our page.


3. How to find GCD of 764, 984, 85, 707 on a calculator?

You can find the GCD of 764, 984, 85, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.