GCD of 724, 735, 294, 474 Calculator

Given Input numbers are 724, 735, 294, 474

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

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

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 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 724, 735, 294, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 735, 294, 474 is 1.

Therefore, GCD of numbers 724, 735, 294, 474 is 1

Given Input Data is 724, 735, 294, 474

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

Prime Factorization of 724 is 2 x 2 x 181

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

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 474 is 2 x 3 x 79

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(724, 735) = 532140

GCD(724, 735) = ( 724 x 735 ) / 532140

GCD(724, 735) = 532140 / 532140

GCD(724, 735) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 294

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

LCM(1, 294) = 294

GCD(1, 294) = ( 1 x 294 ) / 294

GCD(1, 294) = 294 / 294

GCD(1, 294) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

GCD of 724, 735, 294, 474 is 1

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1. What is the GCD of 724, 735, 294, 474?

GCD of 724, 735, 294, 474 is 1

2. Where do I get the detailed procedure to find GCD of 724, 735, 294, 474?

You can find a detailed procedure to find GCD of 724, 735, 294, 474 on our page.

3. How to find GCD of 724, 735, 294, 474 on a calculator?

You can find the GCD of 724, 735, 294, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.