GCD of 510, 698, 609, 144 Calculator

Given Input numbers are 510, 698, 609, 144

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

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 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 510, 698, 609, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 698, 609, 144 is 1.

Therefore, GCD of numbers 510, 698, 609, 144 is 1

Given Input Data is 510, 698, 609, 144

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

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(510, 698) = 177990

GCD(510, 698) = ( 510 x 698 ) / 177990

GCD(510, 698) = 355980 / 177990

GCD(510, 698) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 609

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

LCM(2, 609) = 1218

GCD(2, 609) = ( 2 x 609 ) / 1218

GCD(2, 609) = 1218 / 1218

GCD(2, 609) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 510, 698, 609, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 901, 473, 388, 947
• GCD of 566, 301, 976, 682
• GCD of 914, 666, 694, 147
• GCD of 171, 851, 790, 315
• GCD of 801, 803, 972, 986

1. What is the GCD of 510, 698, 609, 144?

GCD of 510, 698, 609, 144 is 1

2. Where do I get the detailed procedure to find GCD of 510, 698, 609, 144?

You can find a detailed procedure to find GCD of 510, 698, 609, 144 on our page.

3. How to find GCD of 510, 698, 609, 144 on a calculator?

You can find the GCD of 510, 698, 609, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.