GCD of 464, 730, 10, 759 Calculator

Given Input numbers are 464, 730, 10, 759

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

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Greatest Common Divisior

We found the divisors of 464, 730, 10, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 730, 10, 759 is 1.

Therefore, GCD of numbers 464, 730, 10, 759 is 1

Given Input Data is 464, 730, 10, 759

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

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 10 is 2 x 5

Prime Factorization of 759 is 3 x 11 x 23

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(464, 730) = 169360

GCD(464, 730) = ( 464 x 730 ) / 169360

GCD(464, 730) = 338720 / 169360

GCD(464, 730) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 759

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

LCM(2, 759) = 1518

GCD(2, 759) = ( 2 x 759 ) / 1518

GCD(2, 759) = 1518 / 1518

GCD(2, 759) = 1

GCD of 464, 730, 10, 759 is 1

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• GCD of 572, 424, 35, 105
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1. What is the GCD of 464, 730, 10, 759?

GCD of 464, 730, 10, 759 is 1

2. Where do I get the detailed procedure to find GCD of 464, 730, 10, 759?

You can find a detailed procedure to find GCD of 464, 730, 10, 759 on our page.

3. How to find GCD of 464, 730, 10, 759 on a calculator?

You can find the GCD of 464, 730, 10, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.