GCD of 704, 904, 67 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 704, 904, 67 i.e. 1 largest integer that divides all the numbers equally.

GCD of 704, 904, 67 is 1

GCD(704, 904, 67) = 1

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

GCD of

GCD of numbers 704, 904, 67 is 1

GCD(704, 904, 67) = 1

GCD of 704,904,67 Calculator

GCDof 704,904,67 is 1

Given Input numbers are 704, 904, 67

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

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Greatest Common Divisior

We found the divisors of 704, 904, 67 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 904, 67 is 1.

Therefore, GCD of numbers 704, 904, 67 is 1

Finding GCD of 704, 904, 67 using Prime Factorization

Given Input Data is 704, 904, 67

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 67 is 67

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

Finding GCD of 704, 904, 67 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(704, 904) = 79552

GCD(704, 904) = ( 704 x 904 ) / 79552

GCD(704, 904) = 636416 / 79552

GCD(704, 904) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 67

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

LCM(8, 67) = 536

GCD(8, 67) = ( 8 x 67 ) / 536

GCD(8, 67) = 536 / 536

GCD(8, 67) = 1

GCD of 704, 904, 67 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 704, 904, 67

1. What is the GCD of 704, 904, 67?

GCD of 704, 904, 67 is 1

2. Where do I get the detailed procedure to find GCD of 704, 904, 67?

You can find a detailed procedure to find GCD of 704, 904, 67 on our page.

3. How to find GCD of 704, 904, 67 on a calculator?

You can find the GCD of 704, 904, 67 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.