GCD of 306, 575, 35, 674 Calculator

Given Input numbers are 306, 575, 35, 674

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

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 306, 575, 35, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 575, 35, 674 is 1.

Therefore, GCD of numbers 306, 575, 35, 674 is 1

Given Input Data is 306, 575, 35, 674

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

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 35 is 5 x 7

Prime Factorization of 674 is 2 x 337

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(306, 575) = 175950

GCD(306, 575) = ( 306 x 575 ) / 175950

GCD(306, 575) = 175950 / 175950

GCD(306, 575) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

GCD of 306, 575, 35, 674 is 1

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1. What is the GCD of 306, 575, 35, 674?

GCD of 306, 575, 35, 674 is 1

2. Where do I get the detailed procedure to find GCD of 306, 575, 35, 674?

You can find a detailed procedure to find GCD of 306, 575, 35, 674 on our page.

3. How to find GCD of 306, 575, 35, 674 on a calculator?

You can find the GCD of 306, 575, 35, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.