GCD of 705, 763, 49, 744 Calculator

Given Input numbers are 705, 763, 49, 744

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 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Greatest Common Divisior

We found the divisors of 705, 763, 49, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 763, 49, 744 is 1.

Therefore, GCD of numbers 705, 763, 49, 744 is 1

Given Input Data is 705, 763, 49, 744

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 763 is 7 x 109

Prime Factorization of 49 is 7 x 7

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

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, 763) = 537915

GCD(705, 763) = ( 705 x 763 ) / 537915

GCD(705, 763) = 537915 / 537915

GCD(705, 763) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 744

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

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

GCD(1, 744) = 744 / 744

GCD(1, 744) = 1

GCD of 705, 763, 49, 744 is 1

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1. What is the GCD of 705, 763, 49, 744?

GCD of 705, 763, 49, 744 is 1

2. Where do I get the detailed procedure to find GCD of 705, 763, 49, 744?

You can find a detailed procedure to find GCD of 705, 763, 49, 744 on our page.

3. How to find GCD of 705, 763, 49, 744 on a calculator?

You can find the GCD of 705, 763, 49, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.