GCD of 310, 507, 213, 762 Calculator

Given Input numbers are 310, 507, 213, 762

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

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Greatest Common Divisior

We found the divisors of 310, 507, 213, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 507, 213, 762 is 1.

Therefore, GCD of numbers 310, 507, 213, 762 is 1

Given Input Data is 310, 507, 213, 762

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

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 213 is 3 x 71

Prime Factorization of 762 is 2 x 3 x 127

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(310, 507) = 157170

GCD(310, 507) = ( 310 x 507 ) / 157170

GCD(310, 507) = 157170 / 157170

GCD(310, 507) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 762

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

LCM(1, 762) = 762

GCD(1, 762) = ( 1 x 762 ) / 762

GCD(1, 762) = 762 / 762

GCD(1, 762) = 1

GCD of 310, 507, 213, 762 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 186, 423, 544, 421
• GCD of 475, 286, 692, 523
• GCD of 323, 575, 907, 830
• GCD of 996, 980, 627, 847
• GCD of 255, 656, 848, 641

1. What is the GCD of 310, 507, 213, 762?

GCD of 310, 507, 213, 762 is 1

2. Where do I get the detailed procedure to find GCD of 310, 507, 213, 762?

You can find a detailed procedure to find GCD of 310, 507, 213, 762 on our page.

3. How to find GCD of 310, 507, 213, 762 on a calculator?

You can find the GCD of 310, 507, 213, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.