GCD of 510, 749, 705 Calculator

Given Input numbers are 510, 749, 705

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 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 510, 749, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 749, 705 is 1.

Therefore, GCD of numbers 510, 749, 705 is 1

Given Input Data is 510, 749, 705

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 749 is 7 x 107

Prime Factorization of 705 is 3 x 5 x 47

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, 749) = 381990

GCD(510, 749) = ( 510 x 749 ) / 381990

GCD(510, 749) = 381990 / 381990

GCD(510, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

GCD of 510, 749, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 114, 135, 154
• GCD of 849, 431, 129
• GCD of 633, 860, 245
• GCD of 415, 169, 468
• GCD of 730, 580, 667

1. What is the GCD of 510, 749, 705?

GCD of 510, 749, 705 is 1

2. Where do I get the detailed procedure to find GCD of 510, 749, 705?

You can find a detailed procedure to find GCD of 510, 749, 705 on our page.

3. How to find GCD of 510, 749, 705 on a calculator?

You can find the GCD of 510, 749, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.