GCD of 499, 760, 978, 835 Calculator

Given Input numbers are 499, 760, 978, 835

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

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Greatest Common Divisior

We found the divisors of 499, 760, 978, 835 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 499, 760, 978, 835 is 1.

Therefore, GCD of numbers 499, 760, 978, 835 is 1

Given Input Data is 499, 760, 978, 835

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

Prime Factorization of 499 is 499

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 835 is 5 x 167

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

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(499, 760) = 379240

GCD(499, 760) = ( 499 x 760 ) / 379240

GCD(499, 760) = 379240 / 379240

GCD(499, 760) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 835

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

LCM(1, 835) = 835

GCD(1, 835) = ( 1 x 835 ) / 835

GCD(1, 835) = 835 / 835

GCD(1, 835) = 1

GCD of 499, 760, 978, 835 is 1

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1. What is the GCD of 499, 760, 978, 835?

GCD of 499, 760, 978, 835 is 1

2. Where do I get the detailed procedure to find GCD of 499, 760, 978, 835?

You can find a detailed procedure to find GCD of 499, 760, 978, 835 on our page.

3. How to find GCD of 499, 760, 978, 835 on a calculator?

You can find the GCD of 499, 760, 978, 835 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.