GCD of 120, 306, 759, 431 Calculator

Given Input numbers are 120, 306, 759, 431

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

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Greatest Common Divisior

We found the divisors of 120, 306, 759, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 306, 759, 431 is 1.

Therefore, GCD of numbers 120, 306, 759, 431 is 1

Given Input Data is 120, 306, 759, 431

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

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 431 is 431

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(120, 306) = 6120

GCD(120, 306) = ( 120 x 306 ) / 6120

GCD(120, 306) = 36720 / 6120

GCD(120, 306) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 759

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

LCM(6, 759) = 1518

GCD(6, 759) = ( 6 x 759 ) / 1518

GCD(6, 759) = 4554 / 1518

GCD(6, 759) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 431

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

LCM(3, 431) = 1293

GCD(3, 431) = ( 3 x 431 ) / 1293

GCD(3, 431) = 1293 / 1293

GCD(3, 431) = 1

GCD of 120, 306, 759, 431 is 1

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• GCD of 552, 479, 440, 211
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1. What is the GCD of 120, 306, 759, 431?

GCD of 120, 306, 759, 431 is 1

2. Where do I get the detailed procedure to find GCD of 120, 306, 759, 431?

You can find a detailed procedure to find GCD of 120, 306, 759, 431 on our page.

3. How to find GCD of 120, 306, 759, 431 on a calculator?

You can find the GCD of 120, 306, 759, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.