GCD of 794, 504, 67, 677 Calculator

Given Input numbers are 794, 504, 67, 677

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

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

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 67

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

1, 67

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Greatest Common Divisior

We found the divisors of 794, 504, 67, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 794, 504, 67, 677 is 1.

Therefore, GCD of numbers 794, 504, 67, 677 is 1

Given Input Data is 794, 504, 67, 677

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

Prime Factorization of 794 is 2 x 397

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

Prime Factorization of 67 is 67

Prime Factorization of 677 is 677

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(794, 504) = 200088

GCD(794, 504) = ( 794 x 504 ) / 200088

GCD(794, 504) = 400176 / 200088

GCD(794, 504) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 67

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

LCM(2, 67) = 134

GCD(2, 67) = ( 2 x 67 ) / 134

GCD(2, 67) = 134 / 134

GCD(2, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 677

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

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

GCD(1, 677) = 677 / 677

GCD(1, 677) = 1

GCD of 794, 504, 67, 677 is 1

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1. What is the GCD of 794, 504, 67, 677?

GCD of 794, 504, 67, 677 is 1

2. Where do I get the detailed procedure to find GCD of 794, 504, 67, 677?

You can find a detailed procedure to find GCD of 794, 504, 67, 677 on our page.

3. How to find GCD of 794, 504, 67, 677 on a calculator?

You can find the GCD of 794, 504, 67, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.