GCD of 310, 690, 15, 645 Calculator

Given Input numbers are 310, 690, 15, 645

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 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Greatest Common Divisior

We found the divisors of 310, 690, 15, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 690, 15, 645 is 5.

Therefore, GCD of numbers 310, 690, 15, 645 is 5

Given Input Data is 310, 690, 15, 645

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 690 is 2 x 3 x 5 x 23

Prime Factorization of 15 is 3 x 5

Prime Factorization of 645 is 3 x 5 x 43

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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, 690) = 21390

GCD(310, 690) = ( 310 x 690 ) / 21390

GCD(310, 690) = 213900 / 21390

GCD(310, 690) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 15

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

LCM(10, 15) = 30

GCD(10, 15) = ( 10 x 15 ) / 30

GCD(10, 15) = 150 / 30

GCD(10, 15) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 645

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

LCM(5, 645) = 645

GCD(5, 645) = ( 5 x 645 ) / 645

GCD(5, 645) = 3225 / 645

GCD(5, 645) = 5

GCD of 310, 690, 15, 645 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 403, 809, 73, 381
• GCD of 504, 730, 11, 543
• GCD of 984, 544, 45, 279
• GCD of 548, 344, 80, 971
• GCD of 584, 647, 70, 560

1. What is the GCD of 310, 690, 15, 645?

GCD of 310, 690, 15, 645 is 5

2. Where do I get the detailed procedure to find GCD of 310, 690, 15, 645?

You can find a detailed procedure to find GCD of 310, 690, 15, 645 on our page.

3. How to find GCD of 310, 690, 15, 645 on a calculator?

You can find the GCD of 310, 690, 15, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.