GCD of 504, 692, 997 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 504, 692, 997 i.e. 1 largest integer that divides all the numbers equally.

GCD of 504, 692, 997 is 1

GCD(504, 692, 997) = 1

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

GCD of

GCD of numbers 504, 692, 997 is 1

GCD(504, 692, 997) = 1

GCD of 504,692,997 Calculator

GCDof 504,692,997 is 1

Given Input numbers are 504, 692, 997

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

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Greatest Common Divisior

We found the divisors of 504, 692, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 692, 997 is 1.

Therefore, GCD of numbers 504, 692, 997 is 1

Finding GCD of 504, 692, 997 using Prime Factorization

Given Input Data is 504, 692, 997

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

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 997 is 997

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

Finding GCD of 504, 692, 997 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(504, 692) = 87192

GCD(504, 692) = ( 504 x 692 ) / 87192

GCD(504, 692) = 348768 / 87192

GCD(504, 692) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 997

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

LCM(4, 997) = 3988

GCD(4, 997) = ( 4 x 997 ) / 3988

GCD(4, 997) = 3988 / 3988

GCD(4, 997) = 1

GCD of 504, 692, 997 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 504, 692, 997

1. What is the GCD of 504, 692, 997?

GCD of 504, 692, 997 is 1

2. Where do I get the detailed procedure to find GCD of 504, 692, 997?

You can find a detailed procedure to find GCD of 504, 692, 997 on our page.

3. How to find GCD of 504, 692, 997 on a calculator?

You can find the GCD of 504, 692, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.