GCD of 673, 735, 274 Calculator

Given Input numbers are 673, 735, 274

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

Divisors of 673

List of positive integer divisors of 673 that divides 673 without a remainder.

1, 673

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Greatest Common Divisior

We found the divisors of 673, 735, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 673, 735, 274 is 1.

Therefore, GCD of numbers 673, 735, 274 is 1

Given Input Data is 673, 735, 274

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

Prime Factorization of 673 is 673

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 274 is 2 x 137

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(673, 735) = 494655

GCD(673, 735) = ( 673 x 735 ) / 494655

GCD(673, 735) = 494655 / 494655

GCD(673, 735) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 274

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

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

GCD(1, 274) = 274 / 274

GCD(1, 274) = 1

GCD of 673, 735, 274 is 1

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1. What is the GCD of 673, 735, 274?

GCD of 673, 735, 274 is 1

2. Where do I get the detailed procedure to find GCD of 673, 735, 274?

You can find a detailed procedure to find GCD of 673, 735, 274 on our page.

3. How to find GCD of 673, 735, 274 on a calculator?

You can find the GCD of 673, 735, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.