GCD of 767, 832, 998 Calculator

Given Input numbers are 767, 832, 998

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

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 767, 832, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 767, 832, 998 is 1.

Therefore, GCD of numbers 767, 832, 998 is 1

Given Input Data is 767, 832, 998

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

Prime Factorization of 767 is 13 x 59

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 998 is 2 x 499

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(767, 832) = 49088

GCD(767, 832) = ( 767 x 832 ) / 49088

GCD(767, 832) = 638144 / 49088

GCD(767, 832) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 998

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

LCM(13, 998) = 12974

GCD(13, 998) = ( 13 x 998 ) / 12974

GCD(13, 998) = 12974 / 12974

GCD(13, 998) = 1

GCD of 767, 832, 998 is 1

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1. What is the GCD of 767, 832, 998?

GCD of 767, 832, 998 is 1

2. Where do I get the detailed procedure to find GCD of 767, 832, 998?

You can find a detailed procedure to find GCD of 767, 832, 998 on our page.

3. How to find GCD of 767, 832, 998 on a calculator?

You can find the GCD of 767, 832, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.