GCD of 702, 510, 901, 312 Calculator

Given Input numbers are 702, 510, 901, 312

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

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 702, 510, 901, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 510, 901, 312 is 1.

Therefore, GCD of numbers 702, 510, 901, 312 is 1

Given Input Data is 702, 510, 901, 312

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

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 901 is 17 x 53

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

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(702, 510) = 59670

GCD(702, 510) = ( 702 x 510 ) / 59670

GCD(702, 510) = 358020 / 59670

GCD(702, 510) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 901

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

LCM(6, 901) = 5406

GCD(6, 901) = ( 6 x 901 ) / 5406

GCD(6, 901) = 5406 / 5406

GCD(6, 901) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

GCD of 702, 510, 901, 312 is 1

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1. What is the GCD of 702, 510, 901, 312?

GCD of 702, 510, 901, 312 is 1

2. Where do I get the detailed procedure to find GCD of 702, 510, 901, 312?

You can find a detailed procedure to find GCD of 702, 510, 901, 312 on our page.

3. How to find GCD of 702, 510, 901, 312 on a calculator?

You can find the GCD of 702, 510, 901, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.