GCD of 705, 949, 492 Calculator

Given Input numbers are 705, 949, 492

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

Divisors of 705

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

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

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Greatest Common Divisior

We found the divisors of 705, 949, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 949, 492 is 1.

Therefore, GCD of numbers 705, 949, 492 is 1

Given Input Data is 705, 949, 492

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 949 is 13 x 73

Prime Factorization of 492 is 2 x 2 x 3 x 41

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(705, 949) = 669045

GCD(705, 949) = ( 705 x 949 ) / 669045

GCD(705, 949) = 669045 / 669045

GCD(705, 949) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 492

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

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

GCD(1, 492) = 492 / 492

GCD(1, 492) = 1

GCD of 705, 949, 492 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 720, 302, 250
• GCD of 913, 661, 243
• GCD of 949, 633, 956
• GCD of 580, 216, 560
• GCD of 752, 218, 924

1. What is the GCD of 705, 949, 492?

GCD of 705, 949, 492 is 1

2. Where do I get the detailed procedure to find GCD of 705, 949, 492?

You can find a detailed procedure to find GCD of 705, 949, 492 on our page.

3. How to find GCD of 705, 949, 492 on a calculator?

You can find the GCD of 705, 949, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.