GCD of 492, 985, 10, 759 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 492, 985, 10, 759 i.e. 1 largest integer that divides all the numbers equally.

GCD of 492, 985, 10, 759 is 1

GCD(492, 985, 10, 759) = 1

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

GCD of

GCD of numbers 492, 985, 10, 759 is 1

GCD(492, 985, 10, 759) = 1

GCD of 492,985,10,759 Calculator

GCDof 492,985,10,759 is 1

Given Input numbers are 492, 985, 10, 759

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

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Greatest Common Divisior

We found the divisors of 492, 985, 10, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 985, 10, 759 is 1.

Therefore, GCD of numbers 492, 985, 10, 759 is 1

Finding GCD of 492, 985, 10, 759 using Prime Factorization

Given Input Data is 492, 985, 10, 759

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

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 985 is 5 x 197

Prime Factorization of 10 is 2 x 5

Prime Factorization of 759 is 3 x 11 x 23

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

Finding GCD of 492, 985, 10, 759 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(492, 985) = 484620

GCD(492, 985) = ( 492 x 985 ) / 484620

GCD(492, 985) = 484620 / 484620

GCD(492, 985) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 759

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

LCM(1, 759) = 759

GCD(1, 759) = ( 1 x 759 ) / 759

GCD(1, 759) = 759 / 759

GCD(1, 759) = 1

GCD of 492, 985, 10, 759 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 492, 985, 10, 759

1. What is the GCD of 492, 985, 10, 759?

GCD of 492, 985, 10, 759 is 1


2. Where do I get the detailed procedure to find GCD of 492, 985, 10, 759?

You can find a detailed procedure to find GCD of 492, 985, 10, 759 on our page.


3. How to find GCD of 492, 985, 10, 759 on a calculator?

You can find the GCD of 492, 985, 10, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.