GCD of 364, 566, 48, 757 Calculator

Given Input numbers are 364, 566, 48, 757

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Greatest Common Divisior

We found the divisors of 364, 566, 48, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 566, 48, 757 is 1.

Therefore, GCD of numbers 364, 566, 48, 757 is 1

Given Input Data is 364, 566, 48, 757

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 566 is 2 x 283

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 757 is 757

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(364, 566) = 103012

GCD(364, 566) = ( 364 x 566 ) / 103012

GCD(364, 566) = 206024 / 103012

GCD(364, 566) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 757

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

LCM(2, 757) = 1514

GCD(2, 757) = ( 2 x 757 ) / 1514

GCD(2, 757) = 1514 / 1514

GCD(2, 757) = 1

GCD of 364, 566, 48, 757 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 954, 401, 95, 449
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• GCD of 570, 625, 22, 328

1. What is the GCD of 364, 566, 48, 757?

GCD of 364, 566, 48, 757 is 1

2. Where do I get the detailed procedure to find GCD of 364, 566, 48, 757?

You can find a detailed procedure to find GCD of 364, 566, 48, 757 on our page.

3. How to find GCD of 364, 566, 48, 757 on a calculator?

You can find the GCD of 364, 566, 48, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.